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Simplifying -3(4 + -1r) + 4r = 2(4 + r) (4 * -3 + -1r * -3) + 4r = 2(4 + r) (-12 + 3r) + 4r = 2(4 + r) Combine like terms: 3r + 4r = 7r -12 + 7r = 2(4 + r) -12 + 7r = (4 * 2 + r * 2) -12 + 7r = (8 + 2r) Solving -12 + 7r = 8 + 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 + 7r + -2r = 8 + 2r + -2r Combine like terms: 7r + -2r = 5r -12 + 5r = 8 + 2r + -2r Combine like terms: 2r + -2r = 0 -12 + 5r = 8 + 0 -12 + 5r = 8 Add '12' to each side of the equation. -12 + 12 + 5r = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5r = 8 + 12 5r = 8 + 12 Combine like terms: 8 + 12 = 20 5r = 20 Divide each side by '5'. r = 4 Simplifying r = 4
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