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Simplifying -10r + -6(-5r + -6) = 2(-10 + -4r) Reorder the terms: -10r + -6(-6 + -5r) = 2(-10 + -4r) -10r + (-6 * -6 + -5r * -6) = 2(-10 + -4r) -10r + (36 + 30r) = 2(-10 + -4r) Reorder the terms: 36 + -10r + 30r = 2(-10 + -4r) Combine like terms: -10r + 30r = 20r 36 + 20r = 2(-10 + -4r) 36 + 20r = (-10 * 2 + -4r * 2) 36 + 20r = (-20 + -8r) Solving 36 + 20r = -20 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 36 + 20r + 8r = -20 + -8r + 8r Combine like terms: 20r + 8r = 28r 36 + 28r = -20 + -8r + 8r Combine like terms: -8r + 8r = 0 36 + 28r = -20 + 0 36 + 28r = -20 Add '-36' to each side of the equation. 36 + -36 + 28r = -20 + -36 Combine like terms: 36 + -36 = 0 0 + 28r = -20 + -36 28r = -20 + -36 Combine like terms: -20 + -36 = -56 28r = -56 Divide each side by '28'. r = -2 Simplifying r = -2
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