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Simplifying 9r + -4(r + 4) = 3(4r + -6) + -12 Reorder the terms: 9r + -4(4 + r) = 3(4r + -6) + -12 9r + (4 * -4 + r * -4) = 3(4r + -6) + -12 9r + (-16 + -4r) = 3(4r + -6) + -12 Reorder the terms: -16 + 9r + -4r = 3(4r + -6) + -12 Combine like terms: 9r + -4r = 5r -16 + 5r = 3(4r + -6) + -12 Reorder the terms: -16 + 5r = 3(-6 + 4r) + -12 -16 + 5r = (-6 * 3 + 4r * 3) + -12 -16 + 5r = (-18 + 12r) + -12 Reorder the terms: -16 + 5r = -18 + -12 + 12r Combine like terms: -18 + -12 = -30 -16 + 5r = -30 + 12r Solving -16 + 5r = -30 + 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. -16 + 5r + -12r = -30 + 12r + -12r Combine like terms: 5r + -12r = -7r -16 + -7r = -30 + 12r + -12r Combine like terms: 12r + -12r = 0 -16 + -7r = -30 + 0 -16 + -7r = -30 Add '16' to each side of the equation. -16 + 16 + -7r = -30 + 16 Combine like terms: -16 + 16 = 0 0 + -7r = -30 + 16 -7r = -30 + 16 Combine like terms: -30 + 16 = -14 -7r = -14 Divide each side by '-7'. r = 2 Simplifying r = 2
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