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Simplifying -12 + 6 + 2r + -2r = 8 + 2r Combine like terms: -12 + 6 = -6 -6 + 2r + -2r = 8 + 2r Combine like terms: 2r + -2r = 0 -6 + 0 = 8 + 2r -6 = 8 + 2r Solving -6 = 8 + 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. -6 + -2r = 8 + 2r + -2r Combine like terms: 2r + -2r = 0 -6 + -2r = 8 + 0 -6 + -2r = 8 Add '6' to each side of the equation. -6 + 6 + -2r = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -2r = 8 + 6 -2r = 8 + 6 Combine like terms: 8 + 6 = 14 -2r = 14 Divide each side by '-2'. r = -7 Simplifying r = -7
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