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Simplifying 17 + r = -1 + -1(r + 6) Reorder the terms: 17 + r = -1 + -1(6 + r) 17 + r = -1 + (6 * -1 + r * -1) 17 + r = -1 + (-6 + -1r) Combine like terms: -1 + -6 = -7 17 + r = -7 + -1r Solving 17 + r = -7 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 17 + r + r = -7 + -1r + r Combine like terms: r + r = 2r 17 + 2r = -7 + -1r + r Combine like terms: -1r + r = 0 17 + 2r = -7 + 0 17 + 2r = -7 Add '-17' to each side of the equation. 17 + -17 + 2r = -7 + -17 Combine like terms: 17 + -17 = 0 0 + 2r = -7 + -17 2r = -7 + -17 Combine like terms: -7 + -17 = -24 2r = -24 Divide each side by '2'. r = -12 Simplifying r = -12
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