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Simplifying 3(6 + -4r) = 7(-7 + -1r) (6 * 3 + -4r * 3) = 7(-7 + -1r) (18 + -12r) = 7(-7 + -1r) 18 + -12r = (-7 * 7 + -1r * 7) 18 + -12r = (-49 + -7r) Solving 18 + -12r = -49 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 18 + -12r + 7r = -49 + -7r + 7r Combine like terms: -12r + 7r = -5r 18 + -5r = -49 + -7r + 7r Combine like terms: -7r + 7r = 0 18 + -5r = -49 + 0 18 + -5r = -49 Add '-18' to each side of the equation. 18 + -18 + -5r = -49 + -18 Combine like terms: 18 + -18 = 0 0 + -5r = -49 + -18 -5r = -49 + -18 Combine like terms: -49 + -18 = -67 -5r = -67 Divide each side by '-5'. r = 13.4 Simplifying r = 13.4
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