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Simplifying 2(r + -7) + -2(r + -3) = 9(r + -2) Reorder the terms: 2(-7 + r) + -2(r + -3) = 9(r + -2) (-7 * 2 + r * 2) + -2(r + -3) = 9(r + -2) (-14 + 2r) + -2(r + -3) = 9(r + -2) Reorder the terms: -14 + 2r + -2(-3 + r) = 9(r + -2) -14 + 2r + (-3 * -2 + r * -2) = 9(r + -2) -14 + 2r + (6 + -2r) = 9(r + -2) Reorder the terms: -14 + 6 + 2r + -2r = 9(r + -2) Combine like terms: -14 + 6 = -8 -8 + 2r + -2r = 9(r + -2) Combine like terms: 2r + -2r = 0 -8 + 0 = 9(r + -2) -8 = 9(r + -2) Reorder the terms: -8 = 9(-2 + r) -8 = (-2 * 9 + r * 9) -8 = (-18 + 9r) Solving -8 = -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. -8 + -9r = -18 + 9r + -9r Combine like terms: 9r + -9r = 0 -8 + -9r = -18 + 0 -8 + -9r = -18 Add '8' to each side of the equation. -8 + 8 + -9r = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -9r = -18 + 8 -9r = -18 + 8 Combine like terms: -18 + 8 = -10 -9r = -10 Divide each side by '-9'. r = 1.111111111 Simplifying r = 1.111111111
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