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Simplifying 4(3r + -2) = 2(r + 6) Reorder the terms: 4(-2 + 3r) = 2(r + 6) (-2 * 4 + 3r * 4) = 2(r + 6) (-8 + 12r) = 2(r + 6) Reorder the terms: -8 + 12r = 2(6 + r) -8 + 12r = (6 * 2 + r * 2) -8 + 12r = (12 + 2r) Solving -8 + 12r = 12 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -8 + 12r + -2r = 12 + 2r + -2r Combine like terms: 12r + -2r = 10r -8 + 10r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 -8 + 10r = 12 + 0 -8 + 10r = 12 Add '8' to each side of the equation. -8 + 8 + 10r = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 10r = 12 + 8 10r = 12 + 8 Combine like terms: 12 + 8 = 20 10r = 20 Divide each side by '10'. r = 2 Simplifying r = 2
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