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Simplifying 8(x + 6) + -10 + r = 3(x + 12) + 5 Reorder the terms: 8(6 + x) + -10 + r = 3(x + 12) + 5 (6 * 8 + x * 8) + -10 + r = 3(x + 12) + 5 (48 + 8x) + -10 + r = 3(x + 12) + 5 Reorder the terms: 48 + -10 + r + 8x = 3(x + 12) + 5 Combine like terms: 48 + -10 = 38 38 + r + 8x = 3(x + 12) + 5 Reorder the terms: 38 + r + 8x = 3(12 + x) + 5 38 + r + 8x = (12 * 3 + x * 3) + 5 38 + r + 8x = (36 + 3x) + 5 Reorder the terms: 38 + r + 8x = 36 + 5 + 3x Combine like terms: 36 + 5 = 41 38 + r + 8x = 41 + 3x Solving 38 + r + 8x = 41 + 3x 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 + r + -38 + 8x = 41 + -38 + 3x Reorder the terms: 38 + -38 + r + 8x = 41 + -38 + 3x Combine like terms: 38 + -38 = 0 0 + r + 8x = 41 + -38 + 3x r + 8x = 41 + -38 + 3x Combine like terms: 41 + -38 = 3 r + 8x = 3 + 3x Add '-8x' to each side of the equation. r + 8x + -8x = 3 + 3x + -8x Combine like terms: 8x + -8x = 0 r + 0 = 3 + 3x + -8x r = 3 + 3x + -8x Combine like terms: 3x + -8x = -5x r = 3 + -5x Simplifying r = 3 + -5x
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