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Simplifying -7(5r + 5) = 6(4 + 4r) Reorder the terms: -7(5 + 5r) = 6(4 + 4r) (5 * -7 + 5r * -7) = 6(4 + 4r) (-35 + -35r) = 6(4 + 4r) -35 + -35r = (4 * 6 + 4r * 6) -35 + -35r = (24 + 24r) Solving -35 + -35r = 24 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. -35 + -35r + -24r = 24 + 24r + -24r Combine like terms: -35r + -24r = -59r -35 + -59r = 24 + 24r + -24r Combine like terms: 24r + -24r = 0 -35 + -59r = 24 + 0 -35 + -59r = 24 Add '35' to each side of the equation. -35 + 35 + -59r = 24 + 35 Combine like terms: -35 + 35 = 0 0 + -59r = 24 + 35 -59r = 24 + 35 Combine like terms: 24 + 35 = 59 -59r = 59 Divide each side by '-59'. r = -1 Simplifying r = -1
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