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Simplifying -102 = 4(7r + 4) + -6 Reorder the terms: -102 = 4(4 + 7r) + -6 -102 = (4 * 4 + 7r * 4) + -6 -102 = (16 + 28r) + -6 Reorder the terms: -102 = 16 + -6 + 28r Combine like terms: 16 + -6 = 10 -102 = 10 + 28r Solving -102 = 10 + 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. -102 + -28r = 10 + 28r + -28r Combine like terms: 28r + -28r = 0 -102 + -28r = 10 + 0 -102 + -28r = 10 Add '102' to each side of the equation. -102 + 102 + -28r = 10 + 102 Combine like terms: -102 + 102 = 0 0 + -28r = 10 + 102 -28r = 10 + 102 Combine like terms: 10 + 102 = 112 -28r = 112 Divide each side by '-28'. r = -4 Simplifying r = -4
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