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Simplifying 4(r + -2) + 2(2 + 1) = 12 Reorder the terms: 4(-2 + r) + 2(2 + 1) = 12 (-2 * 4 + r * 4) + 2(2 + 1) = 12 (-8 + 4r) + 2(2 + 1) = 12 Combine like terms: 2 + 1 = 3 -8 + 4r + 2(3) = 12 Multiply 2 * 3 -8 + 4r + 6 = 12 Reorder the terms: -8 + 6 + 4r = 12 Combine like terms: -8 + 6 = -2 -2 + 4r = 12 Solving -2 + 4r = 12 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4r = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 4r = 12 + 2 4r = 12 + 2 Combine like terms: 12 + 2 = 14 4r = 14 Divide each side by '4'. r = 3.5 Simplifying r = 3.5
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