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Simplifying 3(-6 + 3r) = 6(4 + 2r) (-6 * 3 + 3r * 3) = 6(4 + 2r) (-18 + 9r) = 6(4 + 2r) -18 + 9r = (4 * 6 + 2r * 6) -18 + 9r = (24 + 12r) Solving -18 + 9r = 24 + 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. -18 + 9r + -12r = 24 + 12r + -12r Combine like terms: 9r + -12r = -3r -18 + -3r = 24 + 12r + -12r Combine like terms: 12r + -12r = 0 -18 + -3r = 24 + 0 -18 + -3r = 24 Add '18' to each side of the equation. -18 + 18 + -3r = 24 + 18 Combine like terms: -18 + 18 = 0 0 + -3r = 24 + 18 -3r = 24 + 18 Combine like terms: 24 + 18 = 42 -3r = 42 Divide each side by '-3'. r = -14 Simplifying r = -14
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