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Simplifying -4r + -56 = -11 + 9(12r + -5) Reorder the terms: -56 + -4r = -11 + 9(12r + -5) Reorder the terms: -56 + -4r = -11 + 9(-5 + 12r) -56 + -4r = -11 + (-5 * 9 + 12r * 9) -56 + -4r = -11 + (-45 + 108r) Combine like terms: -11 + -45 = -56 -56 + -4r = -56 + 108r Add '56' to each side of the equation. -56 + 56 + -4r = -56 + 56 + 108r Combine like terms: -56 + 56 = 0 0 + -4r = -56 + 56 + 108r -4r = -56 + 56 + 108r Combine like terms: -56 + 56 = 0 -4r = 0 + 108r -4r = 108r Solving -4r = 108r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-108r' to each side of the equation. -4r + -108r = 108r + -108r Combine like terms: -4r + -108r = -112r -112r = 108r + -108r Combine like terms: 108r + -108r = 0 -112r = 0 Divide each side by '-112'. r = 0 Simplifying r = 0
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