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Simplifying 3(3r + -4) = 2r + -12 Reorder the terms: 3(-4 + 3r) = 2r + -12 (-4 * 3 + 3r * 3) = 2r + -12 (-12 + 9r) = 2r + -12 Reorder the terms: -12 + 9r = -12 + 2r Add '12' to each side of the equation. -12 + 12 + 9r = -12 + 12 + 2r Combine like terms: -12 + 12 = 0 0 + 9r = -12 + 12 + 2r 9r = -12 + 12 + 2r Combine like terms: -12 + 12 = 0 9r = 0 + 2r 9r = 2r Solving 9r = 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 9r + -2r = 2r + -2r Combine like terms: 9r + -2r = 7r 7r = 2r + -2r Combine like terms: 2r + -2r = 0 7r = 0 Divide each side by '7'. r = 0 Simplifying r = 0
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