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Simplifying 2(2r + -4) + 4(r + -1) = 12 Reorder the terms: 2(-4 + 2r) + 4(r + -1) = 12 (-4 * 2 + 2r * 2) + 4(r + -1) = 12 (-8 + 4r) + 4(r + -1) = 12 Reorder the terms: -8 + 4r + 4(-1 + r) = 12 -8 + 4r + (-1 * 4 + r * 4) = 12 -8 + 4r + (-4 + 4r) = 12 Reorder the terms: -8 + -4 + 4r + 4r = 12 Combine like terms: -8 + -4 = -12 -12 + 4r + 4r = 12 Combine like terms: 4r + 4r = 8r -12 + 8r = 12 Solving -12 + 8r = 12 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8r = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 8r = 12 + 12 8r = 12 + 12 Combine like terms: 12 + 12 = 24 8r = 24 Divide each side by '8'. r = 3 Simplifying r = 3
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