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Simplifying 3(2r + -4) + -2(r + 4) = 0 Reorder the terms: 3(-4 + 2r) + -2(r + 4) = 0 (-4 * 3 + 2r * 3) + -2(r + 4) = 0 (-12 + 6r) + -2(r + 4) = 0 Reorder the terms: -12 + 6r + -2(4 + r) = 0 -12 + 6r + (4 * -2 + r * -2) = 0 -12 + 6r + (-8 + -2r) = 0 Reorder the terms: -12 + -8 + 6r + -2r = 0 Combine like terms: -12 + -8 = -20 -20 + 6r + -2r = 0 Combine like terms: 6r + -2r = 4r -20 + 4r = 0 Solving -20 + 4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 4r = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 4r = 0 + 20 4r = 0 + 20 Combine like terms: 0 + 20 = 20 4r = 20 Divide each side by '4'. r = 5 Simplifying r = 5
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