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Simplifying 7r + -6(1 + 2r) = -1(2 + 7r) 7r + (1 * -6 + 2r * -6) = -1(2 + 7r) 7r + (-6 + -12r) = -1(2 + 7r) Reorder the terms: -6 + 7r + -12r = -1(2 + 7r) Combine like terms: 7r + -12r = -5r -6 + -5r = -1(2 + 7r) -6 + -5r = (2 * -1 + 7r * -1) -6 + -5r = (-2 + -7r) Solving -6 + -5r = -2 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -6 + -5r + 7r = -2 + -7r + 7r Combine like terms: -5r + 7r = 2r -6 + 2r = -2 + -7r + 7r Combine like terms: -7r + 7r = 0 -6 + 2r = -2 + 0 -6 + 2r = -2 Add '6' to each side of the equation. -6 + 6 + 2r = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 2r = -2 + 6 2r = -2 + 6 Combine like terms: -2 + 6 = 4 2r = 4 Divide each side by '2'. r = 2 Simplifying r = 2
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