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Simplifying 5(3r + 6) = 6(3r + -1) Reorder the terms: 5(6 + 3r) = 6(3r + -1) (6 * 5 + 3r * 5) = 6(3r + -1) (30 + 15r) = 6(3r + -1) Reorder the terms: 30 + 15r = 6(-1 + 3r) 30 + 15r = (-1 * 6 + 3r * 6) 30 + 15r = (-6 + 18r) Solving 30 + 15r = -6 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. 30 + 15r + -18r = -6 + 18r + -18r Combine like terms: 15r + -18r = -3r 30 + -3r = -6 + 18r + -18r Combine like terms: 18r + -18r = 0 30 + -3r = -6 + 0 30 + -3r = -6 Add '-30' to each side of the equation. 30 + -30 + -3r = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -3r = -6 + -30 -3r = -6 + -30 Combine like terms: -6 + -30 = -36 -3r = -36 Divide each side by '-3'. r = 12 Simplifying r = 12
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