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Simplifying -9 + 8r = 7(-5r + -1) + -2 Reorder the terms: -9 + 8r = 7(-1 + -5r) + -2 -9 + 8r = (-1 * 7 + -5r * 7) + -2 -9 + 8r = (-7 + -35r) + -2 Reorder the terms: -9 + 8r = -7 + -2 + -35r Combine like terms: -7 + -2 = -9 -9 + 8r = -9 + -35r Add '9' to each side of the equation. -9 + 9 + 8r = -9 + 9 + -35r Combine like terms: -9 + 9 = 0 0 + 8r = -9 + 9 + -35r 8r = -9 + 9 + -35r Combine like terms: -9 + 9 = 0 8r = 0 + -35r 8r = -35r Solving 8r = -35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35r' to each side of the equation. 8r + 35r = -35r + 35r Combine like terms: 8r + 35r = 43r 43r = -35r + 35r Combine like terms: -35r + 35r = 0 43r = 0 Divide each side by '43'. r = 0 Simplifying r = 0
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