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Simplifying 8(1 + 8r) = -12(-5r + -6) (1 * 8 + 8r * 8) = -12(-5r + -6) (8 + 64r) = -12(-5r + -6) Reorder the terms: 8 + 64r = -12(-6 + -5r) 8 + 64r = (-6 * -12 + -5r * -12) 8 + 64r = (72 + 60r) Solving 8 + 64r = 72 + 60r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-60r' to each side of the equation. 8 + 64r + -60r = 72 + 60r + -60r Combine like terms: 64r + -60r = 4r 8 + 4r = 72 + 60r + -60r Combine like terms: 60r + -60r = 0 8 + 4r = 72 + 0 8 + 4r = 72 Add '-8' to each side of the equation. 8 + -8 + 4r = 72 + -8 Combine like terms: 8 + -8 = 0 0 + 4r = 72 + -8 4r = 72 + -8 Combine like terms: 72 + -8 = 64 4r = 64 Divide each side by '4'. r = 16 Simplifying r = 16
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