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Simplifying 7(1 + -1r) + 8r = -1(r + -7) (1 * 7 + -1r * 7) + 8r = -1(r + -7) (7 + -7r) + 8r = -1(r + -7) Combine like terms: -7r + 8r = 1r 7 + 1r = -1(r + -7) Reorder the terms: 7 + 1r = -1(-7 + r) 7 + 1r = (-7 * -1 + r * -1) 7 + 1r = (7 + -1r) Add '-7' to each side of the equation. 7 + -7 + 1r = 7 + -7 + -1r Combine like terms: 7 + -7 = 0 0 + 1r = 7 + -7 + -1r 1r = 7 + -7 + -1r Combine like terms: 7 + -7 = 0 1r = 0 + -1r 1r = -1r Solving 1r = -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. 1r + r = -1r + r Combine like terms: 1r + r = 2r 2r = -1r + r Combine like terms: -1r + r = 0 2r = 0 Divide each side by '2'. r = 0 Simplifying r = 0
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