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Simplifying 8(4r + -9) = r + 27 Reorder the terms: 8(-9 + 4r) = r + 27 (-9 * 8 + 4r * 8) = r + 27 (-72 + 32r) = r + 27 Reorder the terms: -72 + 32r = 27 + r Solving -72 + 32r = 27 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -72 + 32r + -1r = 27 + r + -1r Combine like terms: 32r + -1r = 31r -72 + 31r = 27 + r + -1r Combine like terms: r + -1r = 0 -72 + 31r = 27 + 0 -72 + 31r = 27 Add '72' to each side of the equation. -72 + 72 + 31r = 27 + 72 Combine like terms: -72 + 72 = 0 0 + 31r = 27 + 72 31r = 27 + 72 Combine like terms: 27 + 72 = 99 31r = 99 Divide each side by '31'. r = 3.193548387 Simplifying r = 3.193548387
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