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Simplifying 3(2r + 4) = 4(5r + -4) Reorder the terms: 3(4 + 2r) = 4(5r + -4) (4 * 3 + 2r * 3) = 4(5r + -4) (12 + 6r) = 4(5r + -4) Reorder the terms: 12 + 6r = 4(-4 + 5r) 12 + 6r = (-4 * 4 + 5r * 4) 12 + 6r = (-16 + 20r) Solving 12 + 6r = -16 + 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. 12 + 6r + -20r = -16 + 20r + -20r Combine like terms: 6r + -20r = -14r 12 + -14r = -16 + 20r + -20r Combine like terms: 20r + -20r = 0 12 + -14r = -16 + 0 12 + -14r = -16 Add '-12' to each side of the equation. 12 + -12 + -14r = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -14r = -16 + -12 -14r = -16 + -12 Combine like terms: -16 + -12 = -28 -14r = -28 Divide each side by '-14'. r = 2 Simplifying r = 2
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