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Simplifying -112 = -4(3r + 7) Reorder the terms: -112 = -4(7 + 3r) -112 = (7 * -4 + 3r * -4) -112 = (-28 + -12r) Solving -112 = -28 + -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. -112 + 12r = -28 + -12r + 12r Combine like terms: -12r + 12r = 0 -112 + 12r = -28 + 0 -112 + 12r = -28 Add '112' to each side of the equation. -112 + 112 + 12r = -28 + 112 Combine like terms: -112 + 112 = 0 0 + 12r = -28 + 112 12r = -28 + 112 Combine like terms: -28 + 112 = 84 12r = 84 Divide each side by '12'. r = 7 Simplifying r = 7
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