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Simplifying -4(r + -3) = -9 + 7r Reorder the terms: -4(-3 + r) = -9 + 7r (-3 * -4 + r * -4) = -9 + 7r (12 + -4r) = -9 + 7r Solving 12 + -4r = -9 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 12 + -4r + -7r = -9 + 7r + -7r Combine like terms: -4r + -7r = -11r 12 + -11r = -9 + 7r + -7r Combine like terms: 7r + -7r = 0 12 + -11r = -9 + 0 12 + -11r = -9 Add '-12' to each side of the equation. 12 + -12 + -11r = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -11r = -9 + -12 -11r = -9 + -12 Combine like terms: -9 + -12 = -21 -11r = -21 Divide each side by '-11'. r = 1.909090909 Simplifying r = 1.909090909
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