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Simplifying 6 + 7(6 + 5r) = -36 + 7r 6 + (6 * 7 + 5r * 7) = -36 + 7r 6 + (42 + 35r) = -36 + 7r Combine like terms: 6 + 42 = 48 48 + 35r = -36 + 7r Solving 48 + 35r = -36 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 48 + 35r + -7r = -36 + 7r + -7r Combine like terms: 35r + -7r = 28r 48 + 28r = -36 + 7r + -7r Combine like terms: 7r + -7r = 0 48 + 28r = -36 + 0 48 + 28r = -36 Add '-48' to each side of the equation. 48 + -48 + 28r = -36 + -48 Combine like terms: 48 + -48 = 0 0 + 28r = -36 + -48 28r = -36 + -48 Combine like terms: -36 + -48 = -84 28r = -84 Divide each side by '28'. r = -3 Simplifying r = -3
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