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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 = -58 -58 + r + 8x = 3(x + 12) + 5x Reorder the terms: -58 + r + 8x = 3(12 + x) + 5x -58 + r + 8x = (12 * 3 + x * 3) + 5x -58 + r + 8x = (36 + 3x) + 5x Combine like terms: 3x + 5x = 8x -58 + r + 8x = 36 + 8x Add '-8x' to each side of the equation. -58 + r + 8x + -8x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 -58 + r + 0 = 36 + 8x + -8x -58 + r = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 -58 + r = 36 + 0 -58 + r = 36 Solving -58 + r = 36 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + r = 36 + 58 Combine like terms: -58 + 58 = 0 0 + r = 36 + 58 r = 36 + 58 Combine like terms: 36 + 58 = 94 r = 94 Simplifying r = 94
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