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Simplifying -3(r + -4) = -6(1 + r) Reorder the terms: -3(-4 + r) = -6(1 + r) (-4 * -3 + r * -3) = -6(1 + r) (12 + -3r) = -6(1 + r) 12 + -3r = (1 * -6 + r * -6) 12 + -3r = (-6 + -6r) Solving 12 + -3r = -6 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 12 + -3r + 6r = -6 + -6r + 6r Combine like terms: -3r + 6r = 3r 12 + 3r = -6 + -6r + 6r Combine like terms: -6r + 6r = 0 12 + 3r = -6 + 0 12 + 3r = -6 Add '-12' to each side of the equation. 12 + -12 + 3r = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 3r = -6 + -12 3r = -6 + -12 Combine like terms: -6 + -12 = -18 3r = -18 Divide each side by '3'. r = -6 Simplifying r = -6
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