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Simplifying -32 + -2r = 4(7r + 7) Reorder the terms: -32 + -2r = 4(7 + 7r) -32 + -2r = (7 * 4 + 7r * 4) -32 + -2r = (28 + 28r) Solving -32 + -2r = 28 + 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. -32 + -2r + -28r = 28 + 28r + -28r Combine like terms: -2r + -28r = -30r -32 + -30r = 28 + 28r + -28r Combine like terms: 28r + -28r = 0 -32 + -30r = 28 + 0 -32 + -30r = 28 Add '32' to each side of the equation. -32 + 32 + -30r = 28 + 32 Combine like terms: -32 + 32 = 0 0 + -30r = 28 + 32 -30r = 28 + 32 Combine like terms: 28 + 32 = 60 -30r = 60 Divide each side by '-30'. r = -2 Simplifying r = -2
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