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Simplifying 9(r + -8) = -8(3 + -1r) Reorder the terms: 9(-8 + r) = -8(3 + -1r) (-8 * 9 + r * 9) = -8(3 + -1r) (-72 + 9r) = -8(3 + -1r) -72 + 9r = (3 * -8 + -1r * -8) -72 + 9r = (-24 + 8r) Solving -72 + 9r = -24 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -72 + 9r + -8r = -24 + 8r + -8r Combine like terms: 9r + -8r = 1r -72 + 1r = -24 + 8r + -8r Combine like terms: 8r + -8r = 0 -72 + 1r = -24 + 0 -72 + 1r = -24 Add '72' to each side of the equation. -72 + 72 + 1r = -24 + 72 Combine like terms: -72 + 72 = 0 0 + 1r = -24 + 72 1r = -24 + 72 Combine like terms: -24 + 72 = 48 1r = 48 Divide each side by '1'. r = 48 Simplifying r = 48
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