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Simplifying -9 = -3(7r + -5) + -2(1 + -5r) Reorder the terms: -9 = -3(-5 + 7r) + -2(1 + -5r) -9 = (-5 * -3 + 7r * -3) + -2(1 + -5r) -9 = (15 + -21r) + -2(1 + -5r) -9 = 15 + -21r + (1 * -2 + -5r * -2) -9 = 15 + -21r + (-2 + 10r) Reorder the terms: -9 = 15 + -2 + -21r + 10r Combine like terms: 15 + -2 = 13 -9 = 13 + -21r + 10r Combine like terms: -21r + 10r = -11r -9 = 13 + -11r Solving -9 = 13 + -11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11r' to each side of the equation. -9 + 11r = 13 + -11r + 11r Combine like terms: -11r + 11r = 0 -9 + 11r = 13 + 0 -9 + 11r = 13 Add '9' to each side of the equation. -9 + 9 + 11r = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 11r = 13 + 9 11r = 13 + 9 Combine like terms: 13 + 9 = 22 11r = 22 Divide each side by '11'. r = 2 Simplifying r = 2
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