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Simplifying -24 + -5r = -4(3r + 3) + -5r Reorder the terms: -24 + -5r = -4(3 + 3r) + -5r -24 + -5r = (3 * -4 + 3r * -4) + -5r -24 + -5r = (-12 + -12r) + -5r Combine like terms: -12r + -5r = -17r -24 + -5r = -12 + -17r Solving -24 + -5r = -12 + -17r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '17r' to each side of the equation. -24 + -5r + 17r = -12 + -17r + 17r Combine like terms: -5r + 17r = 12r -24 + 12r = -12 + -17r + 17r Combine like terms: -17r + 17r = 0 -24 + 12r = -12 + 0 -24 + 12r = -12 Add '24' to each side of the equation. -24 + 24 + 12r = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 12r = -12 + 24 12r = -12 + 24 Combine like terms: -12 + 24 = 12 12r = 12 Divide each side by '12'. r = 1 Simplifying r = 1
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