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Simplifying -32 + 8r = -5(1 + -7r) -32 + 8r = (1 * -5 + -7r * -5) -32 + 8r = (-5 + 35r) Solving -32 + 8r = -5 + 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. -32 + 8r + -35r = -5 + 35r + -35r Combine like terms: 8r + -35r = -27r -32 + -27r = -5 + 35r + -35r Combine like terms: 35r + -35r = 0 -32 + -27r = -5 + 0 -32 + -27r = -5 Add '32' to each side of the equation. -32 + 32 + -27r = -5 + 32 Combine like terms: -32 + 32 = 0 0 + -27r = -5 + 32 -27r = -5 + 32 Combine like terms: -5 + 32 = 27 -27r = 27 Divide each side by '-27'. r = -1 Simplifying r = -1
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