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Simplifying 2(3r + -4) = 2(4 + -5r) Reorder the terms: 2(-4 + 3r) = 2(4 + -5r) (-4 * 2 + 3r * 2) = 2(4 + -5r) (-8 + 6r) = 2(4 + -5r) -8 + 6r = (4 * 2 + -5r * 2) -8 + 6r = (8 + -10r) Solving -8 + 6r = 8 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. -8 + 6r + 10r = 8 + -10r + 10r Combine like terms: 6r + 10r = 16r -8 + 16r = 8 + -10r + 10r Combine like terms: -10r + 10r = 0 -8 + 16r = 8 + 0 -8 + 16r = 8 Add '8' to each side of the equation. -8 + 8 + 16r = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 16r = 8 + 8 16r = 8 + 8 Combine like terms: 8 + 8 = 16 16r = 16 Divide each side by '16'. r = 1 Simplifying r = 1
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