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Simplifying 5(r + -12) + -24 = 3(r + 2) Reorder the terms: 5(-12 + r) + -24 = 3(r + 2) (-12 * 5 + r * 5) + -24 = 3(r + 2) (-60 + 5r) + -24 = 3(r + 2) Reorder the terms: -60 + -24 + 5r = 3(r + 2) Combine like terms: -60 + -24 = -84 -84 + 5r = 3(r + 2) Reorder the terms: -84 + 5r = 3(2 + r) -84 + 5r = (2 * 3 + r * 3) -84 + 5r = (6 + 3r) Solving -84 + 5r = 6 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -84 + 5r + -3r = 6 + 3r + -3r Combine like terms: 5r + -3r = 2r -84 + 2r = 6 + 3r + -3r Combine like terms: 3r + -3r = 0 -84 + 2r = 6 + 0 -84 + 2r = 6 Add '84' to each side of the equation. -84 + 84 + 2r = 6 + 84 Combine like terms: -84 + 84 = 0 0 + 2r = 6 + 84 2r = 6 + 84 Combine like terms: 6 + 84 = 90 2r = 90 Divide each side by '2'. r = 45 Simplifying r = 45
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