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Simplifying 3r + -7 = 12 + 2r + -8 + -1 Reorder the terms: -7 + 3r = 12 + 2r + -8 + -1 Reorder the terms: -7 + 3r = 12 + -8 + -1 + 2r Combine like terms: 12 + -8 = 4 -7 + 3r = 4 + -1 + 2r Combine like terms: 4 + -1 = 3 -7 + 3r = 3 + 2r Solving -7 + 3r = 3 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -7 + 3r + -2r = 3 + 2r + -2r Combine like terms: 3r + -2r = 1r -7 + 1r = 3 + 2r + -2r Combine like terms: 2r + -2r = 0 -7 + 1r = 3 + 0 -7 + 1r = 3 Add '7' to each side of the equation. -7 + 7 + 1r = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 1r = 3 + 7 1r = 3 + 7 Combine like terms: 3 + 7 = 10 1r = 10 Divide each side by '1'. r = 10 Simplifying r = 10
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