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Simplifying -10 + 2r = -2(r + -8) + 2 Reorder the terms: -10 + 2r = -2(-8 + r) + 2 -10 + 2r = (-8 * -2 + r * -2) + 2 -10 + 2r = (16 + -2r) + 2 Reorder the terms: -10 + 2r = 16 + 2 + -2r Combine like terms: 16 + 2 = 18 -10 + 2r = 18 + -2r Solving -10 + 2r = 18 + -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. -10 + 2r + 2r = 18 + -2r + 2r Combine like terms: 2r + 2r = 4r -10 + 4r = 18 + -2r + 2r Combine like terms: -2r + 2r = 0 -10 + 4r = 18 + 0 -10 + 4r = 18 Add '10' to each side of the equation. -10 + 10 + 4r = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 4r = 18 + 10 4r = 18 + 10 Combine like terms: 18 + 10 = 28 4r = 28 Divide each side by '4'. r = 7 Simplifying r = 7
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