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Simplifying -1r + 12 = 2(r + 6) Reorder the terms: 12 + -1r = 2(r + 6) Reorder the terms: 12 + -1r = 2(6 + r) 12 + -1r = (6 * 2 + r * 2) 12 + -1r = (12 + 2r) Add '-12' to each side of the equation. 12 + -12 + -1r = 12 + -12 + 2r Combine like terms: 12 + -12 = 0 0 + -1r = 12 + -12 + 2r -1r = 12 + -12 + 2r Combine like terms: 12 + -12 = 0 -1r = 0 + 2r -1r = 2r Solving -1r = 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. -1r + -2r = 2r + -2r Combine like terms: -1r + -2r = -3r -3r = 2r + -2r Combine like terms: 2r + -2r = 0 -3r = 0 Divide each side by '-3'. r = 0 Simplifying r = 0
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