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Simplifying 135 = 5(6 + -7r) 135 = (6 * 5 + -7r * 5) 135 = (30 + -35r) Solving 135 = 30 + -35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35r' to each side of the equation. 135 + 35r = 30 + -35r + 35r Combine like terms: -35r + 35r = 0 135 + 35r = 30 + 0 135 + 35r = 30 Add '-135' to each side of the equation. 135 + -135 + 35r = 30 + -135 Combine like terms: 135 + -135 = 0 0 + 35r = 30 + -135 35r = 30 + -135 Combine like terms: 30 + -135 = -105 35r = -105 Divide each side by '35'. r = -3 Simplifying r = -3
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