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Simplifying 5r + -3(2r + 5) = 9 Reorder the terms: 5r + -3(5 + 2r) = 9 5r + (5 * -3 + 2r * -3) = 9 5r + (-15 + -6r) = 9 Reorder the terms: -15 + 5r + -6r = 9 Combine like terms: 5r + -6r = -1r -15 + -1r = 9 Solving -15 + -1r = 9 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1r = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -1r = 9 + 15 -1r = 9 + 15 Combine like terms: 9 + 15 = 24 -1r = 24 Divide each side by '-1'. r = -24 Simplifying r = -24
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