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Simplifying 7r + -36 = -6(-7r + -6) + r Reorder the terms: -36 + 7r = -6(-7r + -6) + r Reorder the terms: -36 + 7r = -6(-6 + -7r) + r -36 + 7r = (-6 * -6 + -7r * -6) + r -36 + 7r = (36 + 42r) + r Combine like terms: 42r + r = 43r -36 + 7r = 36 + 43r Solving -36 + 7r = 36 + 43r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-43r' to each side of the equation. -36 + 7r + -43r = 36 + 43r + -43r Combine like terms: 7r + -43r = -36r -36 + -36r = 36 + 43r + -43r Combine like terms: 43r + -43r = 0 -36 + -36r = 36 + 0 -36 + -36r = 36 Add '36' to each side of the equation. -36 + 36 + -36r = 36 + 36 Combine like terms: -36 + 36 = 0 0 + -36r = 36 + 36 -36r = 36 + 36 Combine like terms: 36 + 36 = 72 -36r = 72 Divide each side by '-36'. r = -2 Simplifying r = -2
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