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Simplifying 4(2r + 3) + 3(4r + -8) = 0 Reorder the terms: 4(3 + 2r) + 3(4r + -8) = 0 (3 * 4 + 2r * 4) + 3(4r + -8) = 0 (12 + 8r) + 3(4r + -8) = 0 Reorder the terms: 12 + 8r + 3(-8 + 4r) = 0 12 + 8r + (-8 * 3 + 4r * 3) = 0 12 + 8r + (-24 + 12r) = 0 Reorder the terms: 12 + -24 + 8r + 12r = 0 Combine like terms: 12 + -24 = -12 -12 + 8r + 12r = 0 Combine like terms: 8r + 12r = 20r -12 + 20r = 0 Solving -12 + 20r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 20r = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 20r = 0 + 12 20r = 0 + 12 Combine like terms: 0 + 12 = 12 20r = 12 Divide each side by '20'. r = 0.6 Simplifying r = 0.6
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