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Simplifying 3(4r + -1) = 2(5r + -7) Reorder the terms: 3(-1 + 4r) = 2(5r + -7) (-1 * 3 + 4r * 3) = 2(5r + -7) (-3 + 12r) = 2(5r + -7) Reorder the terms: -3 + 12r = 2(-7 + 5r) -3 + 12r = (-7 * 2 + 5r * 2) -3 + 12r = (-14 + 10r) Solving -3 + 12r = -14 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -3 + 12r + -10r = -14 + 10r + -10r Combine like terms: 12r + -10r = 2r -3 + 2r = -14 + 10r + -10r Combine like terms: 10r + -10r = 0 -3 + 2r = -14 + 0 -3 + 2r = -14 Add '3' to each side of the equation. -3 + 3 + 2r = -14 + 3 Combine like terms: -3 + 3 = 0 0 + 2r = -14 + 3 2r = -14 + 3 Combine like terms: -14 + 3 = -11 2r = -11 Divide each side by '2'. r = -5.5 Simplifying r = -5.5
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