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Simplifying 4(5r + -7) = -32 + -8r Reorder the terms: 4(-7 + 5r) = -32 + -8r (-7 * 4 + 5r * 4) = -32 + -8r (-28 + 20r) = -32 + -8r Solving -28 + 20r = -32 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -28 + 20r + 8r = -32 + -8r + 8r Combine like terms: 20r + 8r = 28r -28 + 28r = -32 + -8r + 8r Combine like terms: -8r + 8r = 0 -28 + 28r = -32 + 0 -28 + 28r = -32 Add '28' to each side of the equation. -28 + 28 + 28r = -32 + 28 Combine like terms: -28 + 28 = 0 0 + 28r = -32 + 28 28r = -32 + 28 Combine like terms: -32 + 28 = -4 28r = -4 Divide each side by '28'. r = -0.1428571429 Simplifying r = -0.1428571429
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