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Simplifying 7 + 2r = -7 + -1(1 + -1r) 7 + 2r = -7 + (1 * -1 + -1r * -1) 7 + 2r = -7 + (-1 + 1r) Combine like terms: -7 + -1 = -8 7 + 2r = -8 + 1r Solving 7 + 2r = -8 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 7 + 2r + -1r = -8 + 1r + -1r Combine like terms: 2r + -1r = 1r 7 + 1r = -8 + 1r + -1r Combine like terms: 1r + -1r = 0 7 + 1r = -8 + 0 7 + 1r = -8 Add '-7' to each side of the equation. 7 + -7 + 1r = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 1r = -8 + -7 1r = -8 + -7 Combine like terms: -8 + -7 = -15 1r = -15 Divide each side by '1'. r = -15 Simplifying r = -15
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