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Simplifying 9 + -1(5r + 10) = 6(8r + 8) Reorder the terms: 9 + -1(10 + 5r) = 6(8r + 8) 9 + (10 * -1 + 5r * -1) = 6(8r + 8) 9 + (-10 + -5r) = 6(8r + 8) Combine like terms: 9 + -10 = -1 -1 + -5r = 6(8r + 8) Reorder the terms: -1 + -5r = 6(8 + 8r) -1 + -5r = (8 * 6 + 8r * 6) -1 + -5r = (48 + 48r) Solving -1 + -5r = 48 + 48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-48r' to each side of the equation. -1 + -5r + -48r = 48 + 48r + -48r Combine like terms: -5r + -48r = -53r -1 + -53r = 48 + 48r + -48r Combine like terms: 48r + -48r = 0 -1 + -53r = 48 + 0 -1 + -53r = 48 Add '1' to each side of the equation. -1 + 1 + -53r = 48 + 1 Combine like terms: -1 + 1 = 0 0 + -53r = 48 + 1 -53r = 48 + 1 Combine like terms: 48 + 1 = 49 -53r = 49 Divide each side by '-53'. r = -0.9245283019 Simplifying r = -0.9245283019
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