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Simplifying 5(2r + 4) = 4(3r + -1) Reorder the terms: 5(4 + 2r) = 4(3r + -1) (4 * 5 + 2r * 5) = 4(3r + -1) (20 + 10r) = 4(3r + -1) Reorder the terms: 20 + 10r = 4(-1 + 3r) 20 + 10r = (-1 * 4 + 3r * 4) 20 + 10r = (-4 + 12r) Solving 20 + 10r = -4 + 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. 20 + 10r + -12r = -4 + 12r + -12r Combine like terms: 10r + -12r = -2r 20 + -2r = -4 + 12r + -12r Combine like terms: 12r + -12r = 0 20 + -2r = -4 + 0 20 + -2r = -4 Add '-20' to each side of the equation. 20 + -20 + -2r = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -2r = -4 + -20 -2r = -4 + -20 Combine like terms: -4 + -20 = -24 -2r = -24 Divide each side by '-2'. r = 12 Simplifying r = 12
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