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Simplifying 3(6 + -2r) = -4(r + -5) (6 * 3 + -2r * 3) = -4(r + -5) (18 + -6r) = -4(r + -5) Reorder the terms: 18 + -6r = -4(-5 + r) 18 + -6r = (-5 * -4 + r * -4) 18 + -6r = (20 + -4r) Solving 18 + -6r = 20 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 18 + -6r + 4r = 20 + -4r + 4r Combine like terms: -6r + 4r = -2r 18 + -2r = 20 + -4r + 4r Combine like terms: -4r + 4r = 0 18 + -2r = 20 + 0 18 + -2r = 20 Add '-18' to each side of the equation. 18 + -18 + -2r = 20 + -18 Combine like terms: 18 + -18 = 0 0 + -2r = 20 + -18 -2r = 20 + -18 Combine like terms: 20 + -18 = 2 -2r = 2 Divide each side by '-2'. r = -1 Simplifying r = -1
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