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Simplifying -3r + 24 = 2(r + -3) Reorder the terms: 24 + -3r = 2(r + -3) Reorder the terms: 24 + -3r = 2(-3 + r) 24 + -3r = (-3 * 2 + r * 2) 24 + -3r = (-6 + 2r) Solving 24 + -3r = -6 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 24 + -3r + -2r = -6 + 2r + -2r Combine like terms: -3r + -2r = -5r 24 + -5r = -6 + 2r + -2r Combine like terms: 2r + -2r = 0 24 + -5r = -6 + 0 24 + -5r = -6 Add '-24' to each side of the equation. 24 + -24 + -5r = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -5r = -6 + -24 -5r = -6 + -24 Combine like terms: -6 + -24 = -30 -5r = -30 Divide each side by '-5'. r = 6 Simplifying r = 6
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