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Simplifying 3(4r + 2) + -4(r + -6) = 0 Reorder the terms: 3(2 + 4r) + -4(r + -6) = 0 (2 * 3 + 4r * 3) + -4(r + -6) = 0 (6 + 12r) + -4(r + -6) = 0 Reorder the terms: 6 + 12r + -4(-6 + r) = 0 6 + 12r + (-6 * -4 + r * -4) = 0 6 + 12r + (24 + -4r) = 0 Reorder the terms: 6 + 24 + 12r + -4r = 0 Combine like terms: 6 + 24 = 30 30 + 12r + -4r = 0 Combine like terms: 12r + -4r = 8r 30 + 8r = 0 Solving 30 + 8r = 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 + 8r = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 8r = 0 + -30 8r = 0 + -30 Combine like terms: 0 + -30 = -30 8r = -30 Divide each side by '8'. r = -3.75 Simplifying r = -3.75
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