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Simplifying -8(1 + -9r) = -4(2 + -2r) (1 * -8 + -9r * -8) = -4(2 + -2r) (-8 + 72r) = -4(2 + -2r) -8 + 72r = (2 * -4 + -2r * -4) -8 + 72r = (-8 + 8r) Add '8' to each side of the equation. -8 + 8 + 72r = -8 + 8 + 8r Combine like terms: -8 + 8 = 0 0 + 72r = -8 + 8 + 8r 72r = -8 + 8 + 8r Combine like terms: -8 + 8 = 0 72r = 0 + 8r 72r = 8r Solving 72r = 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 72r + -8r = 8r + -8r Combine like terms: 72r + -8r = 64r 64r = 8r + -8r Combine like terms: 8r + -8r = 0 64r = 0 Divide each side by '64'. r = 0 Simplifying r = 0
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