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Simplifying 118 = -6(7r + 1) + -2 Reorder the terms: 118 = -6(1 + 7r) + -2 118 = (1 * -6 + 7r * -6) + -2 118 = (-6 + -42r) + -2 Reorder the terms: 118 = -6 + -2 + -42r Combine like terms: -6 + -2 = -8 118 = -8 + -42r Solving 118 = -8 + -42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42r' to each side of the equation. 118 + 42r = -8 + -42r + 42r Combine like terms: -42r + 42r = 0 118 + 42r = -8 + 0 118 + 42r = -8 Add '-118' to each side of the equation. 118 + -118 + 42r = -8 + -118 Combine like terms: 118 + -118 = 0 0 + 42r = -8 + -118 42r = -8 + -118 Combine like terms: -8 + -118 = -126 42r = -126 Divide each side by '42'. r = -3 Simplifying r = -3
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