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Simplifying -12 = -1(1 + -6r) + 5(6r + 5) -12 = (1 * -1 + -6r * -1) + 5(6r + 5) -12 = (-1 + 6r) + 5(6r + 5) Reorder the terms: -12 = -1 + 6r + 5(5 + 6r) -12 = -1 + 6r + (5 * 5 + 6r * 5) -12 = -1 + 6r + (25 + 30r) Reorder the terms: -12 = -1 + 25 + 6r + 30r Combine like terms: -1 + 25 = 24 -12 = 24 + 6r + 30r Combine like terms: 6r + 30r = 36r -12 = 24 + 36r Solving -12 = 24 + 36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-36r' to each side of the equation. -12 + -36r = 24 + 36r + -36r Combine like terms: 36r + -36r = 0 -12 + -36r = 24 + 0 -12 + -36r = 24 Add '12' to each side of the equation. -12 + 12 + -36r = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -36r = 24 + 12 -36r = 24 + 12 Combine like terms: 24 + 12 = 36 -36r = 36 Divide each side by '-36'. r = -1 Simplifying r = -1
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