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Simplifying 2(r + -7) + -1(2r + -3) = 9(r + -2) Reorder the terms: 2(-7 + r) + -1(2r + -3) = 9(r + -2) (-7 * 2 + r * 2) + -1(2r + -3) = 9(r + -2) (-14 + 2r) + -1(2r + -3) = 9(r + -2) Reorder the terms: -14 + 2r + -1(-3 + 2r) = 9(r + -2) -14 + 2r + (-3 * -1 + 2r * -1) = 9(r + -2) -14 + 2r + (3 + -2r) = 9(r + -2) Reorder the terms: -14 + 3 + 2r + -2r = 9(r + -2) Combine like terms: -14 + 3 = -11 -11 + 2r + -2r = 9(r + -2) Combine like terms: 2r + -2r = 0 -11 + 0 = 9(r + -2) -11 = 9(r + -2) Reorder the terms: -11 = 9(-2 + r) -11 = (-2 * 9 + r * 9) -11 = (-18 + 9r) Solving -11 = -18 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -11 + -9r = -18 + 9r + -9r Combine like terms: 9r + -9r = 0 -11 + -9r = -18 + 0 -11 + -9r = -18 Add '11' to each side of the equation. -11 + 11 + -9r = -18 + 11 Combine like terms: -11 + 11 = 0 0 + -9r = -18 + 11 -9r = -18 + 11 Combine like terms: -18 + 11 = -7 -9r = -7 Divide each side by '-9'. r = 0.7777777778 Simplifying r = 0.7777777778
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