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Simplifying -81 = 4(8 + 7r) + -1 -81 = (8 * 4 + 7r * 4) + -1 -81 = (32 + 28r) + -1 Reorder the terms: -81 = 32 + -1 + 28r Combine like terms: 32 + -1 = 31 -81 = 31 + 28r Solving -81 = 31 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. -81 + -28r = 31 + 28r + -28r Combine like terms: 28r + -28r = 0 -81 + -28r = 31 + 0 -81 + -28r = 31 Add '81' to each side of the equation. -81 + 81 + -28r = 31 + 81 Combine like terms: -81 + 81 = 0 0 + -28r = 31 + 81 -28r = 31 + 81 Combine like terms: 31 + 81 = 112 -28r = 112 Divide each side by '-28'. r = -4 Simplifying r = -4
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