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Simplifying -3(8r + 6) + 4(5r + 2) = 0 Reorder the terms: -3(6 + 8r) + 4(5r + 2) = 0 (6 * -3 + 8r * -3) + 4(5r + 2) = 0 (-18 + -24r) + 4(5r + 2) = 0 Reorder the terms: -18 + -24r + 4(2 + 5r) = 0 -18 + -24r + (2 * 4 + 5r * 4) = 0 -18 + -24r + (8 + 20r) = 0 Reorder the terms: -18 + 8 + -24r + 20r = 0 Combine like terms: -18 + 8 = -10 -10 + -24r + 20r = 0 Combine like terms: -24r + 20r = -4r -10 + -4r = 0 Solving -10 + -4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -4r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -4r = 0 + 10 -4r = 0 + 10 Combine like terms: 0 + 10 = 10 -4r = 10 Divide each side by '-4'. r = -2.5 Simplifying r = -2.5
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