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Simplifying -4(6r + -8) = 32 + 3r Reorder the terms: -4(-8 + 6r) = 32 + 3r (-8 * -4 + 6r * -4) = 32 + 3r (32 + -24r) = 32 + 3r Add '-32' to each side of the equation. 32 + -32 + -24r = 32 + -32 + 3r Combine like terms: 32 + -32 = 0 0 + -24r = 32 + -32 + 3r -24r = 32 + -32 + 3r Combine like terms: 32 + -32 = 0 -24r = 0 + 3r -24r = 3r Solving -24r = 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -24r + -3r = 3r + -3r Combine like terms: -24r + -3r = -27r -27r = 3r + -3r Combine like terms: 3r + -3r = 0 -27r = 0 Divide each side by '-27'. r = 0 Simplifying r = 0
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