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Simplifying 10 + 2r + -3r + 4 = r + -8 Reorder the terms: 10 + 4 + 2r + -3r = r + -8 Combine like terms: 10 + 4 = 14 14 + 2r + -3r = r + -8 Combine like terms: 2r + -3r = -1r 14 + -1r = r + -8 Reorder the terms: 14 + -1r = -8 + r Solving 14 + -1r = -8 + 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. 14 + -1r + -1r = -8 + r + -1r Combine like terms: -1r + -1r = -2r 14 + -2r = -8 + r + -1r Combine like terms: r + -1r = 0 14 + -2r = -8 + 0 14 + -2r = -8 Add '-14' to each side of the equation. 14 + -14 + -2r = -8 + -14 Combine like terms: 14 + -14 = 0 0 + -2r = -8 + -14 -2r = -8 + -14 Combine like terms: -8 + -14 = -22 -2r = -22 Divide each side by '-2'. r = 11 Simplifying r = 11
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