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Simplifying 2(r + 2) + 3(r + -4) = 9 Reorder the terms: 2(2 + r) + 3(r + -4) = 9 (2 * 2 + r * 2) + 3(r + -4) = 9 (4 + 2r) + 3(r + -4) = 9 Reorder the terms: 4 + 2r + 3(-4 + r) = 9 4 + 2r + (-4 * 3 + r * 3) = 9 4 + 2r + (-12 + 3r) = 9 Reorder the terms: 4 + -12 + 2r + 3r = 9 Combine like terms: 4 + -12 = -8 -8 + 2r + 3r = 9 Combine like terms: 2r + 3r = 5r -8 + 5r = 9 Solving -8 + 5r = 9 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5r = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 5r = 9 + 8 5r = 9 + 8 Combine like terms: 9 + 8 = 17 5r = 17 Divide each side by '5'. r = 3.4 Simplifying r = 3.4
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