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Simplifying -118 = -7(2 + -3r) + 5r -118 = (2 * -7 + -3r * -7) + 5r -118 = (-14 + 21r) + 5r Combine like terms: 21r + 5r = 26r -118 = -14 + 26r Solving -118 = -14 + 26r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-26r' to each side of the equation. -118 + -26r = -14 + 26r + -26r Combine like terms: 26r + -26r = 0 -118 + -26r = -14 + 0 -118 + -26r = -14 Add '118' to each side of the equation. -118 + 118 + -26r = -14 + 118 Combine like terms: -118 + 118 = 0 0 + -26r = -14 + 118 -26r = -14 + 118 Combine like terms: -14 + 118 = 104 -26r = 104 Divide each side by '-26'. r = -4 Simplifying r = -4
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