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Simplifying 2(3r + -10) + -14 = 2(9 + -2r) + -2 Reorder the terms: 2(-10 + 3r) + -14 = 2(9 + -2r) + -2 (-10 * 2 + 3r * 2) + -14 = 2(9 + -2r) + -2 (-20 + 6r) + -14 = 2(9 + -2r) + -2 Reorder the terms: -20 + -14 + 6r = 2(9 + -2r) + -2 Combine like terms: -20 + -14 = -34 -34 + 6r = 2(9 + -2r) + -2 -34 + 6r = (9 * 2 + -2r * 2) + -2 -34 + 6r = (18 + -4r) + -2 Reorder the terms: -34 + 6r = 18 + -2 + -4r Combine like terms: 18 + -2 = 16 -34 + 6r = 16 + -4r Solving -34 + 6r = 16 + -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. -34 + 6r + 4r = 16 + -4r + 4r Combine like terms: 6r + 4r = 10r -34 + 10r = 16 + -4r + 4r Combine like terms: -4r + 4r = 0 -34 + 10r = 16 + 0 -34 + 10r = 16 Add '34' to each side of the equation. -34 + 34 + 10r = 16 + 34 Combine like terms: -34 + 34 = 0 0 + 10r = 16 + 34 10r = 16 + 34 Combine like terms: 16 + 34 = 50 10r = 50 Divide each side by '10'. r = 5 Simplifying r = 5
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