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Simplifying -5(4 + -7r) + 9r = 10 + 5(r + -6) (4 * -5 + -7r * -5) + 9r = 10 + 5(r + -6) (-20 + 35r) + 9r = 10 + 5(r + -6) Combine like terms: 35r + 9r = 44r -20 + 44r = 10 + 5(r + -6) Reorder the terms: -20 + 44r = 10 + 5(-6 + r) -20 + 44r = 10 + (-6 * 5 + r * 5) -20 + 44r = 10 + (-30 + 5r) Combine like terms: 10 + -30 = -20 -20 + 44r = -20 + 5r Add '20' to each side of the equation. -20 + 20 + 44r = -20 + 20 + 5r Combine like terms: -20 + 20 = 0 0 + 44r = -20 + 20 + 5r 44r = -20 + 20 + 5r Combine like terms: -20 + 20 = 0 44r = 0 + 5r 44r = 5r Solving 44r = 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. 44r + -5r = 5r + -5r Combine like terms: 44r + -5r = 39r 39r = 5r + -5r Combine like terms: 5r + -5r = 0 39r = 0 Divide each side by '39'. r = 0 Simplifying r = 0
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