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Simplifying 2(r + -6) + -2r = -7 + -1r Reorder the terms: 2(-6 + r) + -2r = -7 + -1r (-6 * 2 + r * 2) + -2r = -7 + -1r (-12 + 2r) + -2r = -7 + -1r Combine like terms: 2r + -2r = 0 -12 + 0 = -7 + -1r -12 = -7 + -1r Solving -12 = -7 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -12 + r = -7 + -1r + r Combine like terms: -1r + r = 0 -12 + r = -7 + 0 -12 + r = -7 Add '12' to each side of the equation. -12 + 12 + r = -7 + 12 Combine like terms: -12 + 12 = 0 0 + r = -7 + 12 r = -7 + 12 Combine like terms: -7 + 12 = 5 r = 5 Simplifying r = 5
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