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Simplifying -8(r + -8) = 1 + -7(r + -10) Reorder the terms: -8(-8 + r) = 1 + -7(r + -10) (-8 * -8 + r * -8) = 1 + -7(r + -10) (64 + -8r) = 1 + -7(r + -10) Reorder the terms: 64 + -8r = 1 + -7(-10 + r) 64 + -8r = 1 + (-10 * -7 + r * -7) 64 + -8r = 1 + (70 + -7r) Combine like terms: 1 + 70 = 71 64 + -8r = 71 + -7r Solving 64 + -8r = 71 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 64 + -8r + 7r = 71 + -7r + 7r Combine like terms: -8r + 7r = -1r 64 + -1r = 71 + -7r + 7r Combine like terms: -7r + 7r = 0 64 + -1r = 71 + 0 64 + -1r = 71 Add '-64' to each side of the equation. 64 + -64 + -1r = 71 + -64 Combine like terms: 64 + -64 = 0 0 + -1r = 71 + -64 -1r = 71 + -64 Combine like terms: 71 + -64 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7
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