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Simplifying 9(3r + -4) = 5(1r) Reorder the terms: 9(-4 + 3r) = 5(1r) (-4 * 9 + 3r * 9) = 5(1r) (-36 + 27r) = 5(1r) Remove parenthesis around (1r) -36 + 27r = 5 * 1r Multiply 5 * 1 -36 + 27r = 5r Solving -36 + 27r = 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -36 + 27r + -5r = 5r + -5r Combine like terms: 27r + -5r = 22r -36 + 22r = 5r + -5r Combine like terms: 5r + -5r = 0 -36 + 22r = 0 Add '36' to each side of the equation. -36 + 36 + 22r = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 22r = 0 + 36 22r = 0 + 36 Combine like terms: 0 + 36 = 36 22r = 36 Divide each side by '22'. r = 1.636363636 Simplifying r = 1.636363636
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