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Simplifying 2 + -7(1 + -5r) = -8(1 + 7r) + 3 2 + (1 * -7 + -5r * -7) = -8(1 + 7r) + 3 2 + (-7 + 35r) = -8(1 + 7r) + 3 Combine like terms: 2 + -7 = -5 -5 + 35r = -8(1 + 7r) + 3 -5 + 35r = (1 * -8 + 7r * -8) + 3 -5 + 35r = (-8 + -56r) + 3 Reorder the terms: -5 + 35r = -8 + 3 + -56r Combine like terms: -8 + 3 = -5 -5 + 35r = -5 + -56r Add '5' to each side of the equation. -5 + 5 + 35r = -5 + 5 + -56r Combine like terms: -5 + 5 = 0 0 + 35r = -5 + 5 + -56r 35r = -5 + 5 + -56r Combine like terms: -5 + 5 = 0 35r = 0 + -56r 35r = -56r Solving 35r = -56r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '56r' to each side of the equation. 35r + 56r = -56r + 56r Combine like terms: 35r + 56r = 91r 91r = -56r + 56r Combine like terms: -56r + 56r = 0 91r = 0 Divide each side by '91'. r = 0 Simplifying r = 0
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