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Simplifying -7 + 5r = -3(-1 + -5r) -7 + 5r = (-1 * -3 + -5r * -3) -7 + 5r = (3 + 15r) Solving -7 + 5r = 3 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. -7 + 5r + -15r = 3 + 15r + -15r Combine like terms: 5r + -15r = -10r -7 + -10r = 3 + 15r + -15r Combine like terms: 15r + -15r = 0 -7 + -10r = 3 + 0 -7 + -10r = 3 Add '7' to each side of the equation. -7 + 7 + -10r = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -10r = 3 + 7 -10r = 3 + 7 Combine like terms: 3 + 7 = 10 -10r = 10 Divide each side by '-10'. r = -1 Simplifying r = -1
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