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Simplifying 3(2r + -5) = 8r + -9 Reorder the terms: 3(-5 + 2r) = 8r + -9 (-5 * 3 + 2r * 3) = 8r + -9 (-15 + 6r) = 8r + -9 Reorder the terms: -15 + 6r = -9 + 8r Solving -15 + 6r = -9 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -15 + 6r + -8r = -9 + 8r + -8r Combine like terms: 6r + -8r = -2r -15 + -2r = -9 + 8r + -8r Combine like terms: 8r + -8r = 0 -15 + -2r = -9 + 0 -15 + -2r = -9 Add '15' to each side of the equation. -15 + 15 + -2r = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -2r = -9 + 15 -2r = -9 + 15 Combine like terms: -9 + 15 = 6 -2r = 6 Divide each side by '-2'. r = -3 Simplifying r = -3
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