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Simplifying 2(r + -3) + 3(1 + r) = 12 Reorder the terms: 2(-3 + r) + 3(1 + r) = 12 (-3 * 2 + r * 2) + 3(1 + r) = 12 (-6 + 2r) + 3(1 + r) = 12 -6 + 2r + (1 * 3 + r * 3) = 12 -6 + 2r + (3 + 3r) = 12 Reorder the terms: -6 + 3 + 2r + 3r = 12 Combine like terms: -6 + 3 = -3 -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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