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Simplifying 3r + -2(5r + 7) = -5 + -2(r + 12) Reorder the terms: 3r + -2(7 + 5r) = -5 + -2(r + 12) 3r + (7 * -2 + 5r * -2) = -5 + -2(r + 12) 3r + (-14 + -10r) = -5 + -2(r + 12) Reorder the terms: -14 + 3r + -10r = -5 + -2(r + 12) Combine like terms: 3r + -10r = -7r -14 + -7r = -5 + -2(r + 12) Reorder the terms: -14 + -7r = -5 + -2(12 + r) -14 + -7r = -5 + (12 * -2 + r * -2) -14 + -7r = -5 + (-24 + -2r) Combine like terms: -5 + -24 = -29 -14 + -7r = -29 + -2r Solving -14 + -7r = -29 + -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. -14 + -7r + 2r = -29 + -2r + 2r Combine like terms: -7r + 2r = -5r -14 + -5r = -29 + -2r + 2r Combine like terms: -2r + 2r = 0 -14 + -5r = -29 + 0 -14 + -5r = -29 Add '14' to each side of the equation. -14 + 14 + -5r = -29 + 14 Combine like terms: -14 + 14 = 0 0 + -5r = -29 + 14 -5r = -29 + 14 Combine like terms: -29 + 14 = -15 -5r = -15 Divide each side by '-5'. r = 3 Simplifying r = 3
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