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Simplifying 3(4 + -5r) = 2r + -4 (4 * 3 + -5r * 3) = 2r + -4 (12 + -15r) = 2r + -4 Reorder the terms: 12 + -15r = -4 + 2r Solving 12 + -15r = -4 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 12 + -15r + -2r = -4 + 2r + -2r Combine like terms: -15r + -2r = -17r 12 + -17r = -4 + 2r + -2r Combine like terms: 2r + -2r = 0 12 + -17r = -4 + 0 12 + -17r = -4 Add '-12' to each side of the equation. 12 + -12 + -17r = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -17r = -4 + -12 -17r = -4 + -12 Combine like terms: -4 + -12 = -16 -17r = -16 Divide each side by '-17'. r = 0.9411764706 Simplifying r = 0.9411764706
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