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Simplifying 1 + -3r + 5r = -12 + r + 8 + 6 Combine like terms: -3r + 5r = 2r 1 + 2r = -12 + r + 8 + 6 Reorder the terms: 1 + 2r = -12 + 8 + 6 + r Combine like terms: -12 + 8 = -4 1 + 2r = -4 + 6 + r Combine like terms: -4 + 6 = 2 1 + 2r = 2 + r Solving 1 + 2r = 2 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 1 + 2r + -1r = 2 + r + -1r Combine like terms: 2r + -1r = 1r 1 + 1r = 2 + r + -1r Combine like terms: r + -1r = 0 1 + 1r = 2 + 0 1 + 1r = 2 Add '-1' to each side of the equation. 1 + -1 + 1r = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 1r = 2 + -1 1r = 2 + -1 Combine like terms: 2 + -1 = 1 1r = 1 Divide each side by '1'. r = 1 Simplifying r = 1
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