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Simplifying 3(1 + -2r) = 15 + -2r (1 * 3 + -2r * 3) = 15 + -2r (3 + -6r) = 15 + -2r Solving 3 + -6r = 15 + -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. 3 + -6r + 2r = 15 + -2r + 2r Combine like terms: -6r + 2r = -4r 3 + -4r = 15 + -2r + 2r Combine like terms: -2r + 2r = 0 3 + -4r = 15 + 0 3 + -4r = 15 Add '-3' to each side of the equation. 3 + -3 + -4r = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -4r = 15 + -3 -4r = 15 + -3 Combine like terms: 15 + -3 = 12 -4r = 12 Divide each side by '-4'. r = -3 Simplifying r = -3
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