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Simplifying 4(3r + -2) = 4 + -12r Reorder the terms: 4(-2 + 3r) = 4 + -12r (-2 * 4 + 3r * 4) = 4 + -12r (-8 + 12r) = 4 + -12r Solving -8 + 12r = 4 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. -8 + 12r + 12r = 4 + -12r + 12r Combine like terms: 12r + 12r = 24r -8 + 24r = 4 + -12r + 12r Combine like terms: -12r + 12r = 0 -8 + 24r = 4 + 0 -8 + 24r = 4 Add '8' to each side of the equation. -8 + 8 + 24r = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 24r = 4 + 8 24r = 4 + 8 Combine like terms: 4 + 8 = 12 24r = 12 Divide each side by '24'. r = 0.5 Simplifying r = 0.5
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