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Simplifying 6(r + -9) + 2 = 7(r + 3) + -24 Reorder the terms: 6(-9 + r) + 2 = 7(r + 3) + -24 (-9 * 6 + r * 6) + 2 = 7(r + 3) + -24 (-54 + 6r) + 2 = 7(r + 3) + -24 Reorder the terms: -54 + 2 + 6r = 7(r + 3) + -24 Combine like terms: -54 + 2 = -52 -52 + 6r = 7(r + 3) + -24 Reorder the terms: -52 + 6r = 7(3 + r) + -24 -52 + 6r = (3 * 7 + r * 7) + -24 -52 + 6r = (21 + 7r) + -24 Reorder the terms: -52 + 6r = 21 + -24 + 7r Combine like terms: 21 + -24 = -3 -52 + 6r = -3 + 7r Solving -52 + 6r = -3 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -52 + 6r + -7r = -3 + 7r + -7r Combine like terms: 6r + -7r = -1r -52 + -1r = -3 + 7r + -7r Combine like terms: 7r + -7r = 0 -52 + -1r = -3 + 0 -52 + -1r = -3 Add '52' to each side of the equation. -52 + 52 + -1r = -3 + 52 Combine like terms: -52 + 52 = 0 0 + -1r = -3 + 52 -1r = -3 + 52 Combine like terms: -3 + 52 = 49 -1r = 49 Divide each side by '-1'. r = -49 Simplifying r = -49
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