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Simplifying 3(5r + -6) = 30 + 7r Reorder the terms: 3(-6 + 5r) = 30 + 7r (-6 * 3 + 5r * 3) = 30 + 7r (-18 + 15r) = 30 + 7r Solving -18 + 15r = 30 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -18 + 15r + -7r = 30 + 7r + -7r Combine like terms: 15r + -7r = 8r -18 + 8r = 30 + 7r + -7r Combine like terms: 7r + -7r = 0 -18 + 8r = 30 + 0 -18 + 8r = 30 Add '18' to each side of the equation. -18 + 18 + 8r = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 8r = 30 + 18 8r = 30 + 18 Combine like terms: 30 + 18 = 48 8r = 48 Divide each side by '8'. r = 6 Simplifying r = 6
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