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Simplifying 2(r + -7) + 3(r + -1) = 4r + 3 Reorder the terms: 2(-7 + r) + 3(r + -1) = 4r + 3 (-7 * 2 + r * 2) + 3(r + -1) = 4r + 3 (-14 + 2r) + 3(r + -1) = 4r + 3 Reorder the terms: -14 + 2r + 3(-1 + r) = 4r + 3 -14 + 2r + (-1 * 3 + r * 3) = 4r + 3 -14 + 2r + (-3 + 3r) = 4r + 3 Reorder the terms: -14 + -3 + 2r + 3r = 4r + 3 Combine like terms: -14 + -3 = -17 -17 + 2r + 3r = 4r + 3 Combine like terms: 2r + 3r = 5r -17 + 5r = 4r + 3 Reorder the terms: -17 + 5r = 3 + 4r Solving -17 + 5r = 3 + 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. -17 + 5r + -4r = 3 + 4r + -4r Combine like terms: 5r + -4r = 1r -17 + 1r = 3 + 4r + -4r Combine like terms: 4r + -4r = 0 -17 + 1r = 3 + 0 -17 + 1r = 3 Add '17' to each side of the equation. -17 + 17 + 1r = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 1r = 3 + 17 1r = 3 + 17 Combine like terms: 3 + 17 = 20 1r = 20 Divide each side by '1'. r = 20 Simplifying r = 20
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