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Simplifying -4r + -5r = 9(8r + -14) + -9(2 + 7r) Combine like terms: -4r + -5r = -9r -9r = 9(8r + -14) + -9(2 + 7r) Reorder the terms: -9r = 9(-14 + 8r) + -9(2 + 7r) -9r = (-14 * 9 + 8r * 9) + -9(2 + 7r) -9r = (-126 + 72r) + -9(2 + 7r) -9r = -126 + 72r + (2 * -9 + 7r * -9) -9r = -126 + 72r + (-18 + -63r) Reorder the terms: -9r = -126 + -18 + 72r + -63r Combine like terms: -126 + -18 = -144 -9r = -144 + 72r + -63r Combine like terms: 72r + -63r = 9r -9r = -144 + 9r Solving -9r = -144 + 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. -9r + -9r = -144 + 9r + -9r Combine like terms: -9r + -9r = -18r -18r = -144 + 9r + -9r Combine like terms: 9r + -9r = 0 -18r = -144 + 0 -18r = -144 Divide each side by '-18'. r = 8 Simplifying r = 8
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