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Simplifying -2(-2r + -8) = 7(1 + r) Reorder the terms: -2(-8 + -2r) = 7(1 + r) (-8 * -2 + -2r * -2) = 7(1 + r) (16 + 4r) = 7(1 + r) 16 + 4r = (1 * 7 + r * 7) 16 + 4r = (7 + 7r) Solving 16 + 4r = 7 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 16 + 4r + -7r = 7 + 7r + -7r Combine like terms: 4r + -7r = -3r 16 + -3r = 7 + 7r + -7r Combine like terms: 7r + -7r = 0 16 + -3r = 7 + 0 16 + -3r = 7 Add '-16' to each side of the equation. 16 + -16 + -3r = 7 + -16 Combine like terms: 16 + -16 = 0 0 + -3r = 7 + -16 -3r = 7 + -16 Combine like terms: 7 + -16 = -9 -3r = -9 Divide each side by '-3'. r = 3 Simplifying r = 3
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