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Simplifying 3r + -5 = 2(4r + -9) Reorder the terms: -5 + 3r = 2(4r + -9) Reorder the terms: -5 + 3r = 2(-9 + 4r) -5 + 3r = (-9 * 2 + 4r * 2) -5 + 3r = (-18 + 8r) Solving -5 + 3r = -18 + 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. -5 + 3r + -8r = -18 + 8r + -8r Combine like terms: 3r + -8r = -5r -5 + -5r = -18 + 8r + -8r Combine like terms: 8r + -8r = 0 -5 + -5r = -18 + 0 -5 + -5r = -18 Add '5' to each side of the equation. -5 + 5 + -5r = -18 + 5 Combine like terms: -5 + 5 = 0 0 + -5r = -18 + 5 -5r = -18 + 5 Combine like terms: -18 + 5 = -13 -5r = -13 Divide each side by '-5'. r = 2.6 Simplifying r = 2.6
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