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Simplifying 3(3r + 3) = 6(2r + -1) Reorder the terms: 3(3 + 3r) = 6(2r + -1) (3 * 3 + 3r * 3) = 6(2r + -1) (9 + 9r) = 6(2r + -1) Reorder the terms: 9 + 9r = 6(-1 + 2r) 9 + 9r = (-1 * 6 + 2r * 6) 9 + 9r = (-6 + 12r) Solving 9 + 9r = -6 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 9 + 9r + -12r = -6 + 12r + -12r Combine like terms: 9r + -12r = -3r 9 + -3r = -6 + 12r + -12r Combine like terms: 12r + -12r = 0 9 + -3r = -6 + 0 9 + -3r = -6 Add '-9' to each side of the equation. 9 + -9 + -3r = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3r = -6 + -9 -3r = -6 + -9 Combine like terms: -6 + -9 = -15 -3r = -15 Divide each side by '-3'. r = 5 Simplifying r = 5
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