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Simplifying -3(r + 12) = 4(3r + -9) Reorder the terms: -3(12 + r) = 4(3r + -9) (12 * -3 + r * -3) = 4(3r + -9) (-36 + -3r) = 4(3r + -9) Reorder the terms: -36 + -3r = 4(-9 + 3r) -36 + -3r = (-9 * 4 + 3r * 4) -36 + -3r = (-36 + 12r) Add '36' to each side of the equation. -36 + 36 + -3r = -36 + 36 + 12r Combine like terms: -36 + 36 = 0 0 + -3r = -36 + 36 + 12r -3r = -36 + 36 + 12r Combine like terms: -36 + 36 = 0 -3r = 0 + 12r -3r = 12r Solving -3r = 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. -3r + -12r = 12r + -12r Combine like terms: -3r + -12r = -15r -15r = 12r + -12r Combine like terms: 12r + -12r = 0 -15r = 0 Divide each side by '-15'. r = 0 Simplifying r = 0
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