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Simplifying -139 = 3(8r + 7) + 8 Reorder the terms: -139 = 3(7 + 8r) + 8 -139 = (7 * 3 + 8r * 3) + 8 -139 = (21 + 24r) + 8 Reorder the terms: -139 = 21 + 8 + 24r Combine like terms: 21 + 8 = 29 -139 = 29 + 24r Solving -139 = 29 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. -139 + -24r = 29 + 24r + -24r Combine like terms: 24r + -24r = 0 -139 + -24r = 29 + 0 -139 + -24r = 29 Add '139' to each side of the equation. -139 + 139 + -24r = 29 + 139 Combine like terms: -139 + 139 = 0 0 + -24r = 29 + 139 -24r = 29 + 139 Combine like terms: 29 + 139 = 168 -24r = 168 Divide each side by '-24'. r = -7 Simplifying r = -7
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