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Simplifying -91 = 6(3r + -3) + -1 Reorder the terms: -91 = 6(-3 + 3r) + -1 -91 = (-3 * 6 + 3r * 6) + -1 -91 = (-18 + 18r) + -1 Reorder the terms: -91 = -18 + -1 + 18r Combine like terms: -18 + -1 = -19 -91 = -19 + 18r Solving -91 = -19 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. -91 + -18r = -19 + 18r + -18r Combine like terms: 18r + -18r = 0 -91 + -18r = -19 + 0 -91 + -18r = -19 Add '91' to each side of the equation. -91 + 91 + -18r = -19 + 91 Combine like terms: -91 + 91 = 0 0 + -18r = -19 + 91 -18r = -19 + 91 Combine like terms: -19 + 91 = 72 -18r = 72 Divide each side by '-18'. r = -4 Simplifying r = -4
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