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Simplifying -5(2r + -2) + -7 = -3(2r + -5) Reorder the terms: -5(-2 + 2r) + -7 = -3(2r + -5) (-2 * -5 + 2r * -5) + -7 = -3(2r + -5) (10 + -10r) + -7 = -3(2r + -5) Reorder the terms: 10 + -7 + -10r = -3(2r + -5) Combine like terms: 10 + -7 = 3 3 + -10r = -3(2r + -5) Reorder the terms: 3 + -10r = -3(-5 + 2r) 3 + -10r = (-5 * -3 + 2r * -3) 3 + -10r = (15 + -6r) Solving 3 + -10r = 15 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 3 + -10r + 6r = 15 + -6r + 6r Combine like terms: -10r + 6r = -4r 3 + -4r = 15 + -6r + 6r Combine like terms: -6r + 6r = 0 3 + -4r = 15 + 0 3 + -4r = 15 Add '-3' to each side of the equation. 3 + -3 + -4r = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -4r = 15 + -3 -4r = 15 + -3 Combine like terms: 15 + -3 = 12 -4r = 12 Divide each side by '-4'. r = -3 Simplifying r = -3
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