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Simplifying 3(4 + -2r) = -2(r + 5) (4 * 3 + -2r * 3) = -2(r + 5) (12 + -6r) = -2(r + 5) Reorder the terms: 12 + -6r = -2(5 + r) 12 + -6r = (5 * -2 + r * -2) 12 + -6r = (-10 + -2r) Solving 12 + -6r = -10 + -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 + -6r + 2r = -10 + -2r + 2r Combine like terms: -6r + 2r = -4r 12 + -4r = -10 + -2r + 2r Combine like terms: -2r + 2r = 0 12 + -4r = -10 + 0 12 + -4r = -10 Add '-12' to each side of the equation. 12 + -12 + -4r = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -4r = -10 + -12 -4r = -10 + -12 Combine like terms: -10 + -12 = -22 -4r = -22 Divide each side by '-4'. r = 5.5 Simplifying r = 5.5
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