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Simplifying -2r + -10 + -8 = 2r + 10 Reorder the terms: -10 + -8 + -2r = 2r + 10 Combine like terms: -10 + -8 = -18 -18 + -2r = 2r + 10 Reorder the terms: -18 + -2r = 10 + 2r Solving -18 + -2r = 10 + 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. -18 + -2r + -2r = 10 + 2r + -2r Combine like terms: -2r + -2r = -4r -18 + -4r = 10 + 2r + -2r Combine like terms: 2r + -2r = 0 -18 + -4r = 10 + 0 -18 + -4r = 10 Add '18' to each side of the equation. -18 + 18 + -4r = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -4r = 10 + 18 -4r = 10 + 18 Combine like terms: 10 + 18 = 28 -4r = 28 Divide each side by '-4'. r = -7 Simplifying r = -7
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