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Simplifying 6(r + -3) = 6(1 + 5r) Reorder the terms: 6(-3 + r) = 6(1 + 5r) (-3 * 6 + r * 6) = 6(1 + 5r) (-18 + 6r) = 6(1 + 5r) -18 + 6r = (1 * 6 + 5r * 6) -18 + 6r = (6 + 30r) Solving -18 + 6r = 6 + 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. -18 + 6r + -30r = 6 + 30r + -30r Combine like terms: 6r + -30r = -24r -18 + -24r = 6 + 30r + -30r Combine like terms: 30r + -30r = 0 -18 + -24r = 6 + 0 -18 + -24r = 6 Add '18' to each side of the equation. -18 + 18 + -24r = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -24r = 6 + 18 -24r = 6 + 18 Combine like terms: 6 + 18 = 24 -24r = 24 Divide each side by '-24'. r = -1 Simplifying r = -1
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