Simplifying 8(x + 6) + -10 + r = 3(x + 12) + 5x Reorder the terms: 8(6 + x) + -10 + r = 3(x + 12) + 5x (6 * 8 + x * 8) + -10 + r = 3(x + 12) + 5x (48 + 8x) + -10 + r = 3(x + 12) + 5x Reorder the terms: 48 + -10 + r + 8x = 3(x + 12) + 5x Combine like terms: 48 + -10 = 38 38 + r + 8x = 3(x + 12) + 5x Reorder the terms: 38 + r + 8x = 3(12 + x) + 5x 38 + r + 8x = (12 * 3 + x * 3) + 5x 38 + r + 8x = (36 + 3x) + 5x Combine like terms: 3x + 5x = 8x 38 + r + 8x = 36 + 8x Add '-8x' to each side of the equation. 38 + r + 8x + -8x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + r + 0 = 36 + 8x + -8x 38 + r = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + r = 36 + 0 38 + r = 36 Solving 38 + r = 36 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + r = 36 + -38 Combine like terms: 38 + -38 = 0 0 + r = 36 + -38 r = 36 + -38 Combine like terms: 36 + -38 = -2 r = -2 Simplifying r = -2...

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