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Simplifying -1(r + -7) + 7 = 2(2r + 8) + -3r Reorder the terms: -1(-7 + r) + 7 = 2(2r + 8) + -3r (-7 * -1 + r * -1) + 7 = 2(2r + 8) + -3r (7 + -1r) + 7 = 2(2r + 8) + -3r Reorder the terms: 7 + 7 + -1r = 2(2r + 8) + -3r Combine like terms: 7 + 7 = 14 14 + -1r = 2(2r + 8) + -3r Reorder the terms: 14 + -1r = 2(8 + 2r) + -3r 14 + -1r = (8 * 2 + 2r * 2) + -3r 14 + -1r = (16 + 4r) + -3r Combine like terms: 4r + -3r = 1r 14 + -1r = 16 + 1r Solving 14 + -1r = 16 + 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. 14 + -1r + -1r = 16 + 1r + -1r Combine like terms: -1r + -1r = -2r 14 + -2r = 16 + 1r + -1r Combine like terms: 1r + -1r = 0 14 + -2r = 16 + 0 14 + -2r = 16 Add '-14' to each side of the equation. 14 + -14 + -2r = 16 + -14 Combine like terms: 14 + -14 = 0 0 + -2r = 16 + -14 -2r = 16 + -14 Combine like terms: 16 + -14 = 2 -2r = 2 Divide each side by '-2'. r = -1 Simplifying r = -1
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