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Simplifying 30 + -7r = 2(6 + -5r) 30 + -7r = (6 * 2 + -5r * 2) 30 + -7r = (12 + -10r) Solving 30 + -7r = 12 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 30 + -7r + 10r = 12 + -10r + 10r Combine like terms: -7r + 10r = 3r 30 + 3r = 12 + -10r + 10r Combine like terms: -10r + 10r = 0 30 + 3r = 12 + 0 30 + 3r = 12 Add '-30' to each side of the equation. 30 + -30 + 3r = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 3r = 12 + -30 3r = 12 + -30 Combine like terms: 12 + -30 = -18 3r = -18 Divide each side by '3'. r = -6 Simplifying r = -6
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