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Simplifying -105 = -3(4r + 3) Reorder the terms: -105 = -3(3 + 4r) -105 = (3 * -3 + 4r * -3) -105 = (-9 + -12r) Solving -105 = -9 + -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. -105 + 12r = -9 + -12r + 12r Combine like terms: -12r + 12r = 0 -105 + 12r = -9 + 0 -105 + 12r = -9 Add '105' to each side of the equation. -105 + 105 + 12r = -9 + 105 Combine like terms: -105 + 105 = 0 0 + 12r = -9 + 105 12r = -9 + 105 Combine like terms: -9 + 105 = 96 12r = 96 Divide each side by '12'. r = 8 Simplifying r = 8
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