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Simplifying -4(2r + 6) + 6(2r + 3) = 0 Reorder the terms: -4(6 + 2r) + 6(2r + 3) = 0 (6 * -4 + 2r * -4) + 6(2r + 3) = 0 (-24 + -8r) + 6(2r + 3) = 0 Reorder the terms: -24 + -8r + 6(3 + 2r) = 0 -24 + -8r + (3 * 6 + 2r * 6) = 0 -24 + -8r + (18 + 12r) = 0 Reorder the terms: -24 + 18 + -8r + 12r = 0 Combine like terms: -24 + 18 = -6 -6 + -8r + 12r = 0 Combine like terms: -8r + 12r = 4r -6 + 4r = 0 Solving -6 + 4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4r = 0 + 6 4r = 0 + 6 Combine like terms: 0 + 6 = 6 4r = 6 Divide each side by '4'. r = 1.5 Simplifying r = 1.5
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