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Simplifying 5(-6r + -6) = 6(-13 + -1r) Reorder the terms: 5(-6 + -6r) = 6(-13 + -1r) (-6 * 5 + -6r * 5) = 6(-13 + -1r) (-30 + -30r) = 6(-13 + -1r) -30 + -30r = (-13 * 6 + -1r * 6) -30 + -30r = (-78 + -6r) Solving -30 + -30r = -78 + -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. -30 + -30r + 6r = -78 + -6r + 6r Combine like terms: -30r + 6r = -24r -30 + -24r = -78 + -6r + 6r Combine like terms: -6r + 6r = 0 -30 + -24r = -78 + 0 -30 + -24r = -78 Add '30' to each side of the equation. -30 + 30 + -24r = -78 + 30 Combine like terms: -30 + 30 = 0 0 + -24r = -78 + 30 -24r = -78 + 30 Combine like terms: -78 + 30 = -48 -24r = -48 Divide each side by '-24'. r = 2 Simplifying r = 2
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