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Simplifying 2(4r + -9) + -3(r + 4) = 0 Reorder the terms: 2(-9 + 4r) + -3(r + 4) = 0 (-9 * 2 + 4r * 2) + -3(r + 4) = 0 (-18 + 8r) + -3(r + 4) = 0 Reorder the terms: -18 + 8r + -3(4 + r) = 0 -18 + 8r + (4 * -3 + r * -3) = 0 -18 + 8r + (-12 + -3r) = 0 Reorder the terms: -18 + -12 + 8r + -3r = 0 Combine like terms: -18 + -12 = -30 -30 + 8r + -3r = 0 Combine like terms: 8r + -3r = 5r -30 + 5r = 0 Solving -30 + 5r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 5r = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 5r = 0 + 30 5r = 0 + 30 Combine like terms: 0 + 30 = 30 5r = 30 Divide each side by '5'. r = 6 Simplifying r = 6
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