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Simplifying 3(4r + -2) = 3(3r + 3) Reorder the terms: 3(-2 + 4r) = 3(3r + 3) (-2 * 3 + 4r * 3) = 3(3r + 3) (-6 + 12r) = 3(3r + 3) Reorder the terms: -6 + 12r = 3(3 + 3r) -6 + 12r = (3 * 3 + 3r * 3) -6 + 12r = (9 + 9r) Solving -6 + 12r = 9 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -6 + 12r + -9r = 9 + 9r + -9r Combine like terms: 12r + -9r = 3r -6 + 3r = 9 + 9r + -9r Combine like terms: 9r + -9r = 0 -6 + 3r = 9 + 0 -6 + 3r = 9 Add '6' to each side of the equation. -6 + 6 + 3r = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3r = 9 + 6 3r = 9 + 6 Combine like terms: 9 + 6 = 15 3r = 15 Divide each side by '3'. r = 5 Simplifying r = 5
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