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Simplifying -4(-7 + 7r) = 4(5r + -5) (-7 * -4 + 7r * -4) = 4(5r + -5) (28 + -28r) = 4(5r + -5) Reorder the terms: 28 + -28r = 4(-5 + 5r) 28 + -28r = (-5 * 4 + 5r * 4) 28 + -28r = (-20 + 20r) Solving 28 + -28r = -20 + 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. 28 + -28r + -20r = -20 + 20r + -20r Combine like terms: -28r + -20r = -48r 28 + -48r = -20 + 20r + -20r Combine like terms: 20r + -20r = 0 28 + -48r = -20 + 0 28 + -48r = -20 Add '-28' to each side of the equation. 28 + -28 + -48r = -20 + -28 Combine like terms: 28 + -28 = 0 0 + -48r = -20 + -28 -48r = -20 + -28 Combine like terms: -20 + -28 = -48 -48r = -48 Divide each side by '-48'. r = 1 Simplifying r = 1
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