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Simplifying 3(-5r + 6) = 4r + -39 Reorder the terms: 3(6 + -5r) = 4r + -39 (6 * 3 + -5r * 3) = 4r + -39 (18 + -15r) = 4r + -39 Reorder the terms: 18 + -15r = -39 + 4r Solving 18 + -15r = -39 + 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 + -15r + -4r = -39 + 4r + -4r Combine like terms: -15r + -4r = -19r 18 + -19r = -39 + 4r + -4r Combine like terms: 4r + -4r = 0 18 + -19r = -39 + 0 18 + -19r = -39 Add '-18' to each side of the equation. 18 + -18 + -19r = -39 + -18 Combine like terms: 18 + -18 = 0 0 + -19r = -39 + -18 -19r = -39 + -18 Combine like terms: -39 + -18 = -57 -19r = -57 Divide each side by '-19'. r = 3 Simplifying r = 3
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