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Simplifying 2(5r + -4) = 12r Reorder the terms: 2(-4 + 5r) = 12r (-4 * 2 + 5r * 2) = 12r (-8 + 10r) = 12r Solving -8 + 10r = 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -8 + 10r + -12r = 12r + -12r Combine like terms: 10r + -12r = -2r -8 + -2r = 12r + -12r Combine like terms: 12r + -12r = 0 -8 + -2r = 0 Add '8' to each side of the equation. -8 + 8 + -2r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2r = 0 + 8 -2r = 0 + 8 Combine like terms: 0 + 8 = 8 -2r = 8 Divide each side by '-2'. r = -4 Simplifying r = -4
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