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Simplifying 7r + -8 + -10r = 2 + -2r + -14 Reorder the terms: -8 + 7r + -10r = 2 + -2r + -14 Combine like terms: 7r + -10r = -3r -8 + -3r = 2 + -2r + -14 Reorder the terms: -8 + -3r = 2 + -14 + -2r Combine like terms: 2 + -14 = -12 -8 + -3r = -12 + -2r Solving -8 + -3r = -12 + -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. -8 + -3r + 2r = -12 + -2r + 2r Combine like terms: -3r + 2r = -1r -8 + -1r = -12 + -2r + 2r Combine like terms: -2r + 2r = 0 -8 + -1r = -12 + 0 -8 + -1r = -12 Add '8' to each side of the equation. -8 + 8 + -1r = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -1r = -12 + 8 -1r = -12 + 8 Combine like terms: -12 + 8 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4
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