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Simplifying 6(r + -8) + 2 = 7(r + 2) + -24 Reorder the terms: 6(-8 + r) + 2 = 7(r + 2) + -24 (-8 * 6 + r * 6) + 2 = 7(r + 2) + -24 (-48 + 6r) + 2 = 7(r + 2) + -24 Reorder the terms: -48 + 2 + 6r = 7(r + 2) + -24 Combine like terms: -48 + 2 = -46 -46 + 6r = 7(r + 2) + -24 Reorder the terms: -46 + 6r = 7(2 + r) + -24 -46 + 6r = (2 * 7 + r * 7) + -24 -46 + 6r = (14 + 7r) + -24 Reorder the terms: -46 + 6r = 14 + -24 + 7r Combine like terms: 14 + -24 = -10 -46 + 6r = -10 + 7r Solving -46 + 6r = -10 + 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. -46 + 6r + -7r = -10 + 7r + -7r Combine like terms: 6r + -7r = -1r -46 + -1r = -10 + 7r + -7r Combine like terms: 7r + -7r = 0 -46 + -1r = -10 + 0 -46 + -1r = -10 Add '46' to each side of the equation. -46 + 46 + -1r = -10 + 46 Combine like terms: -46 + 46 = 0 0 + -1r = -10 + 46 -1r = -10 + 46 Combine like terms: -10 + 46 = 36 -1r = 36 Divide each side by '-1'. r = -36 Simplifying r = -36
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