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Simplifying 4(-3r + 1) = -4(-2 + -6r) Reorder the terms: 4(1 + -3r) = -4(-2 + -6r) (1 * 4 + -3r * 4) = -4(-2 + -6r) (4 + -12r) = -4(-2 + -6r) 4 + -12r = (-2 * -4 + -6r * -4) 4 + -12r = (8 + 24r) Solving 4 + -12r = 8 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 4 + -12r + -24r = 8 + 24r + -24r Combine like terms: -12r + -24r = -36r 4 + -36r = 8 + 24r + -24r Combine like terms: 24r + -24r = 0 4 + -36r = 8 + 0 4 + -36r = 8 Add '-4' to each side of the equation. 4 + -4 + -36r = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -36r = 8 + -4 -36r = 8 + -4 Combine like terms: 8 + -4 = 4 -36r = 4 Divide each side by '-36'. r = -0.1111111111 Simplifying r = -0.1111111111
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