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Simplifying 2(3r + -10) + -14 = -2(9 + -2r) + -2r Reorder the terms: 2(-10 + 3r) + -14 = -2(9 + -2r) + -2r (-10 * 2 + 3r * 2) + -14 = -2(9 + -2r) + -2r (-20 + 6r) + -14 = -2(9 + -2r) + -2r Reorder the terms: -20 + -14 + 6r = -2(9 + -2r) + -2r Combine like terms: -20 + -14 = -34 -34 + 6r = -2(9 + -2r) + -2r -34 + 6r = (9 * -2 + -2r * -2) + -2r -34 + 6r = (-18 + 4r) + -2r Combine like terms: 4r + -2r = 2r -34 + 6r = -18 + 2r Solving -34 + 6r = -18 + 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. -34 + 6r + -2r = -18 + 2r + -2r Combine like terms: 6r + -2r = 4r -34 + 4r = -18 + 2r + -2r Combine like terms: 2r + -2r = 0 -34 + 4r = -18 + 0 -34 + 4r = -18 Add '34' to each side of the equation. -34 + 34 + 4r = -18 + 34 Combine like terms: -34 + 34 = 0 0 + 4r = -18 + 34 4r = -18 + 34 Combine like terms: -18 + 34 = 16 4r = 16 Divide each side by '4'. r = 4 Simplifying r = 4
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