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Simplifying 5(r + -2) = 9r + -6 Reorder the terms: 5(-2 + r) = 9r + -6 (-2 * 5 + r * 5) = 9r + -6 (-10 + 5r) = 9r + -6 Reorder the terms: -10 + 5r = -6 + 9r Solving -10 + 5r = -6 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -10 + 5r + -9r = -6 + 9r + -9r Combine like terms: 5r + -9r = -4r -10 + -4r = -6 + 9r + -9r Combine like terms: 9r + -9r = 0 -10 + -4r = -6 + 0 -10 + -4r = -6 Add '10' to each side of the equation. -10 + 10 + -4r = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -4r = -6 + 10 -4r = -6 + 10 Combine like terms: -6 + 10 = 4 -4r = 4 Divide each side by '-4'. r = -1 Simplifying r = -1
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