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Simplifying 2(-7r + 1) = -1(-2 + 6r) Reorder the terms: 2(1 + -7r) = -1(-2 + 6r) (1 * 2 + -7r * 2) = -1(-2 + 6r) (2 + -14r) = -1(-2 + 6r) 2 + -14r = (-2 * -1 + 6r * -1) 2 + -14r = (2 + -6r) Add '-2' to each side of the equation. 2 + -2 + -14r = 2 + -2 + -6r Combine like terms: 2 + -2 = 0 0 + -14r = 2 + -2 + -6r -14r = 2 + -2 + -6r Combine like terms: 2 + -2 = 0 -14r = 0 + -6r -14r = -6r Solving -14r = -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -14r + 6r = -6r + 6r Combine like terms: -14r + 6r = -8r -8r = -6r + 6r Combine like terms: -6r + 6r = 0 -8r = 0 Divide each side by '-8'. r = 0 Simplifying r = 0
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