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Simplifying 4(2r + 3) + -3(r + 5) = 12 Reorder the terms: 4(3 + 2r) + -3(r + 5) = 12 (3 * 4 + 2r * 4) + -3(r + 5) = 12 (12 + 8r) + -3(r + 5) = 12 Reorder the terms: 12 + 8r + -3(5 + r) = 12 12 + 8r + (5 * -3 + r * -3) = 12 12 + 8r + (-15 + -3r) = 12 Reorder the terms: 12 + -15 + 8r + -3r = 12 Combine like terms: 12 + -15 = -3 -3 + 8r + -3r = 12 Combine like terms: 8r + -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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