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Simplifying -3r + 7(-1 + -4r) = 117 -3r + (-1 * 7 + -4r * 7) = 117 -3r + (-7 + -28r) = 117 Reorder the terms: -7 + -3r + -28r = 117 Combine like terms: -3r + -28r = -31r -7 + -31r = 117 Solving -7 + -31r = 117 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -31r = 117 + 7 Combine like terms: -7 + 7 = 0 0 + -31r = 117 + 7 -31r = 117 + 7 Combine like terms: 117 + 7 = 124 -31r = 124 Divide each side by '-31'. r = -4 Simplifying r = -4
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