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Simplifying 4(-2r + 3) + -2(1 + -6r) = 0 Reorder the terms: 4(3 + -2r) + -2(1 + -6r) = 0 (3 * 4 + -2r * 4) + -2(1 + -6r) = 0 (12 + -8r) + -2(1 + -6r) = 0 12 + -8r + (1 * -2 + -6r * -2) = 0 12 + -8r + (-2 + 12r) = 0 Reorder the terms: 12 + -2 + -8r + 12r = 0 Combine like terms: 12 + -2 = 10 10 + -8r + 12r = 0 Combine like terms: -8r + 12r = 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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