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Simplifying 3 + 7(8r + -7) = -1(-3r + -5) + 2r Reorder the terms: 3 + 7(-7 + 8r) = -1(-3r + -5) + 2r 3 + (-7 * 7 + 8r * 7) = -1(-3r + -5) + 2r 3 + (-49 + 56r) = -1(-3r + -5) + 2r Combine like terms: 3 + -49 = -46 -46 + 56r = -1(-3r + -5) + 2r Reorder the terms: -46 + 56r = -1(-5 + -3r) + 2r -46 + 56r = (-5 * -1 + -3r * -1) + 2r -46 + 56r = (5 + 3r) + 2r Combine like terms: 3r + 2r = 5r -46 + 56r = 5 + 5r Solving -46 + 56r = 5 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -46 + 56r + -5r = 5 + 5r + -5r Combine like terms: 56r + -5r = 51r -46 + 51r = 5 + 5r + -5r Combine like terms: 5r + -5r = 0 -46 + 51r = 5 + 0 -46 + 51r = 5 Add '46' to each side of the equation. -46 + 46 + 51r = 5 + 46 Combine like terms: -46 + 46 = 0 0 + 51r = 5 + 46 51r = 5 + 46 Combine like terms: 5 + 46 = 51 51r = 51 Divide each side by '51'. r = 1 Simplifying r = 1
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