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Simplifying 4r + -2r + 3(r + -1) = 12 Reorder the terms: 4r + -2r + 3(-1 + r) = 12 4r + -2r + (-1 * 3 + r * 3) = 12 4r + -2r + (-3 + 3r) = 12 Reorder the terms: -3 + 4r + -2r + 3r = 12 Combine like terms: 4r + -2r = 2r -3 + 2r + 3r = 12 Combine like terms: 2r + 3r = 5r -3 + 5r = 12 Solving -3 + 5r = 12 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5r = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5r = 12 + 3 5r = 12 + 3 Combine like terms: 12 + 3 = 15 5r = 15 Divide each side by '5'. r = 3 Simplifying r = 3
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