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Simplifying 30 + 6r = 6(-3r + 1) Reorder the terms: 30 + 6r = 6(1 + -3r) 30 + 6r = (1 * 6 + -3r * 6) 30 + 6r = (6 + -18r) Solving 30 + 6r = 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 + 6r + 18r = 6 + -18r + 18r Combine like terms: 6r + 18r = 24r 30 + 24r = 6 + -18r + 18r Combine like terms: -18r + 18r = 0 30 + 24r = 6 + 0 30 + 24r = 6 Add '-30' to each side of the equation. 30 + -30 + 24r = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 24r = 6 + -30 24r = 6 + -30 Combine like terms: 6 + -30 = -24 24r = -24 Divide each side by '24'. r = -1 Simplifying r = -1
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