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Simplifying -7r + -30 = 5(6 + -2r) + -7r Reorder the terms: -30 + -7r = 5(6 + -2r) + -7r -30 + -7r = (6 * 5 + -2r * 5) + -7r -30 + -7r = (30 + -10r) + -7r Combine like terms: -10r + -7r = -17r -30 + -7r = 30 + -17r Solving -30 + -7r = 30 + -17r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '17r' to each side of the equation. -30 + -7r + 17r = 30 + -17r + 17r Combine like terms: -7r + 17r = 10r -30 + 10r = 30 + -17r + 17r Combine like terms: -17r + 17r = 0 -30 + 10r = 30 + 0 -30 + 10r = 30 Add '30' to each side of the equation. -30 + 30 + 10r = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 10r = 30 + 30 10r = 30 + 30 Combine like terms: 30 + 30 = 60 10r = 60 Divide each side by '10'. r = 6 Simplifying r = 6
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