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Simplifying 30 + -6r = 3(4 + -5r) 30 + -6r = (4 * 3 + -5r * 3) 30 + -6r = (12 + -15r) Solving 30 + -6r = 12 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. 30 + -6r + 15r = 12 + -15r + 15r Combine like terms: -6r + 15r = 9r 30 + 9r = 12 + -15r + 15r Combine like terms: -15r + 15r = 0 30 + 9r = 12 + 0 30 + 9r = 12 Add '-30' to each side of the equation. 30 + -30 + 9r = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 9r = 12 + -30 9r = 12 + -30 Combine like terms: 12 + -30 = -18 9r = -18 Divide each side by '9'. r = -2 Simplifying r = -2
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