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Simplifying -29 + -8r = 3(6r + -2) + 3 Reorder the terms: -29 + -8r = 3(-2 + 6r) + 3 -29 + -8r = (-2 * 3 + 6r * 3) + 3 -29 + -8r = (-6 + 18r) + 3 Reorder the terms: -29 + -8r = -6 + 3 + 18r Combine like terms: -6 + 3 = -3 -29 + -8r = -3 + 18r Solving -29 + -8r = -3 + 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. -29 + -8r + -18r = -3 + 18r + -18r Combine like terms: -8r + -18r = -26r -29 + -26r = -3 + 18r + -18r Combine like terms: 18r + -18r = 0 -29 + -26r = -3 + 0 -29 + -26r = -3 Add '29' to each side of the equation. -29 + 29 + -26r = -3 + 29 Combine like terms: -29 + 29 = 0 0 + -26r = -3 + 29 -26r = -3 + 29 Combine like terms: -3 + 29 = 26 -26r = 26 Divide each side by '-26'. r = -1 Simplifying r = -1
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