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Simplifying -3(r + -1) + -7(-1r + 3) = -2r + 3r Reorder the terms: -3(-1 + r) + -7(-1r + 3) = -2r + 3r (-1 * -3 + r * -3) + -7(-1r + 3) = -2r + 3r (3 + -3r) + -7(-1r + 3) = -2r + 3r Reorder the terms: 3 + -3r + -7(3 + -1r) = -2r + 3r 3 + -3r + (3 * -7 + -1r * -7) = -2r + 3r 3 + -3r + (-21 + 7r) = -2r + 3r Reorder the terms: 3 + -21 + -3r + 7r = -2r + 3r Combine like terms: 3 + -21 = -18 -18 + -3r + 7r = -2r + 3r Combine like terms: -3r + 7r = 4r -18 + 4r = -2r + 3r Combine like terms: -2r + 3r = 1r -18 + 4r = 1r Solving -18 + 4r = 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -18 + 4r + -1r = 1r + -1r Combine like terms: 4r + -1r = 3r -18 + 3r = 1r + -1r Combine like terms: 1r + -1r = 0 -18 + 3r = 0 Add '18' to each side of the equation. -18 + 18 + 3r = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3r = 0 + 18 3r = 0 + 18 Combine like terms: 0 + 18 = 18 3r = 18 Divide each side by '3'. r = 6 Simplifying r = 6
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