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Simplifying 8(x + 6) + -10 + r = 3(x + 12) + 5y Reorder the terms: 8(6 + x) + -10 + r = 3(x + 12) + 5y (6 * 8 + x * 8) + -10 + r = 3(x + 12) + 5y (48 + 8x) + -10 + r = 3(x + 12) + 5y Reorder the terms: 48 + -10 + r + 8x = 3(x + 12) + 5y Combine like terms: 48 + -10 = 38 38 + r + 8x = 3(x + 12) + 5y Reorder the terms: 38 + r + 8x = 3(12 + x) + 5y 38 + r + 8x = (12 * 3 + x * 3) + 5y 38 + r + 8x = (36 + 3x) + 5y Solving 38 + r + 8x = 36 + 3x + 5y 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 = 36 + 3x + -38 + 5y Reorder the terms: 38 + -38 + r + 8x = 36 + 3x + -38 + 5y Combine like terms: 38 + -38 = 0 0 + r + 8x = 36 + 3x + -38 + 5y r + 8x = 36 + 3x + -38 + 5y Reorder the terms: r + 8x = 36 + -38 + 3x + 5y Combine like terms: 36 + -38 = -2 r + 8x = -2 + 3x + 5y Add '-8x' to each side of the equation. r + 8x + -8x = -2 + 3x + -8x + 5y Combine like terms: 8x + -8x = 0 r + 0 = -2 + 3x + -8x + 5y r = -2 + 3x + -8x + 5y Combine like terms: 3x + -8x = -5x r = -2 + -5x + 5y Simplifying r = -2 + -5x + 5y
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