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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 = -6r -34 + 6r = 18 + -6r Solving -34 + 6r = 18 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -34 + 6r + 6r = 18 + -6r + 6r Combine like terms: 6r + 6r = 12r -34 + 12r = 18 + -6r + 6r Combine like terms: -6r + 6r = 0 -34 + 12r = 18 + 0 -34 + 12r = 18 Add '34' to each side of the equation. -34 + 34 + 12r = 18 + 34 Combine like terms: -34 + 34 = 0 0 + 12r = 18 + 34 12r = 18 + 34 Combine like terms: 18 + 34 = 52 12r = 52 Divide each side by '12'. r = 4.333333333 Simplifying r = 4.333333333
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