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Simplifying 4(r + -2) + 2(r + 1) = 12 Reorder the terms: 4(-2 + r) + 2(r + 1) = 12 (-2 * 4 + r * 4) + 2(r + 1) = 12 (-8 + 4r) + 2(r + 1) = 12 Reorder the terms: -8 + 4r + 2(1 + r) = 12 -8 + 4r + (1 * 2 + r * 2) = 12 -8 + 4r + (2 + 2r) = 12 Reorder the terms: -8 + 2 + 4r + 2r = 12 Combine like terms: -8 + 2 = -6 -6 + 4r + 2r = 12 Combine like terms: 4r + 2r = 6r -6 + 6r = 12 Solving -6 + 6r = 12 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6r = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6r = 12 + 6 6r = 12 + 6 Combine like terms: 12 + 6 = 18 6r = 18 Divide each side by '6'. r = 3 Simplifying r = 3
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