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Simplifying -4(6 + 8r) = 6(-4 + -4r) + -5r (6 * -4 + 8r * -4) = 6(-4 + -4r) + -5r (-24 + -32r) = 6(-4 + -4r) + -5r -24 + -32r = (-4 * 6 + -4r * 6) + -5r -24 + -32r = (-24 + -24r) + -5r Combine like terms: -24r + -5r = -29r -24 + -32r = -24 + -29r Add '24' to each side of the equation. -24 + 24 + -32r = -24 + 24 + -29r Combine like terms: -24 + 24 = 0 0 + -32r = -24 + 24 + -29r -32r = -24 + 24 + -29r Combine like terms: -24 + 24 = 0 -32r = 0 + -29r -32r = -29r Solving -32r = -29r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '29r' to each side of the equation. -32r + 29r = -29r + 29r Combine like terms: -32r + 29r = -3r -3r = -29r + 29r Combine like terms: -29r + 29r = 0 -3r = 0 Divide each side by '-3'. r = 0 Simplifying r = 0
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