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Simplifying 3(4r + -3) + -4(r + -3) = 0 Reorder the terms: 3(-3 + 4r) + -4(r + -3) = 0 (-3 * 3 + 4r * 3) + -4(r + -3) = 0 (-9 + 12r) + -4(r + -3) = 0 Reorder the terms: -9 + 12r + -4(-3 + r) = 0 -9 + 12r + (-3 * -4 + r * -4) = 0 -9 + 12r + (12 + -4r) = 0 Reorder the terms: -9 + 12 + 12r + -4r = 0 Combine like terms: -9 + 12 = 3 3 + 12r + -4r = 0 Combine like terms: 12r + -4r = 8r 3 + 8r = 0 Solving 3 + 8r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8r = 0 + -3 8r = 0 + -3 Combine like terms: 0 + -3 = -3 8r = -3 Divide each side by '8'. r = -0.375 Simplifying r = -0.375
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