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Simplifying 2r + -4 = 2(6 + -7r) Reorder the terms: -4 + 2r = 2(6 + -7r) -4 + 2r = (6 * 2 + -7r * 2) -4 + 2r = (12 + -14r) Solving -4 + 2r = 12 + -14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '14r' to each side of the equation. -4 + 2r + 14r = 12 + -14r + 14r Combine like terms: 2r + 14r = 16r -4 + 16r = 12 + -14r + 14r Combine like terms: -14r + 14r = 0 -4 + 16r = 12 + 0 -4 + 16r = 12 Add '4' to each side of the equation. -4 + 4 + 16r = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 16r = 12 + 4 16r = 12 + 4 Combine like terms: 12 + 4 = 16 16r = 16 Divide each side by '16'. r = 1 Simplifying r = 1
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