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Simplifying 3r + 2r + 5r + 8r + -8r + -10 = 30 Reorder the terms: -10 + 3r + 2r + 5r + 8r + -8r = 30 Combine like terms: 3r + 2r = 5r -10 + 5r + 5r + 8r + -8r = 30 Combine like terms: 5r + 5r = 10r -10 + 10r + 8r + -8r = 30 Combine like terms: 10r + 8r = 18r -10 + 18r + -8r = 30 Combine like terms: 18r + -8r = 10r -10 + 10r = 30 Solving -10 + 10r = 30 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 10r = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 10r = 30 + 10 10r = 30 + 10 Combine like terms: 30 + 10 = 40 10r = 40 Divide each side by '10'. r = 4 Simplifying r = 4
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