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Simplifying 3(4 + -1r) = 7 + -4r (4 * 3 + -1r * 3) = 7 + -4r (12 + -3r) = 7 + -4r Solving 12 + -3r = 7 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 12 + -3r + 4r = 7 + -4r + 4r Combine like terms: -3r + 4r = 1r 12 + 1r = 7 + -4r + 4r Combine like terms: -4r + 4r = 0 12 + 1r = 7 + 0 12 + 1r = 7 Add '-12' to each side of the equation. 12 + -12 + 1r = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 1r = 7 + -12 1r = 7 + -12 Combine like terms: 7 + -12 = -5 1r = -5 Divide each side by '1'. r = -5 Simplifying r = -5
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