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Simplifying 7(8r + -1) + 2 = 8r + -8 Reorder the terms: 7(-1 + 8r) + 2 = 8r + -8 (-1 * 7 + 8r * 7) + 2 = 8r + -8 (-7 + 56r) + 2 = 8r + -8 Reorder the terms: -7 + 2 + 56r = 8r + -8 Combine like terms: -7 + 2 = -5 -5 + 56r = 8r + -8 Reorder the terms: -5 + 56r = -8 + 8r Solving -5 + 56r = -8 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -5 + 56r + -8r = -8 + 8r + -8r Combine like terms: 56r + -8r = 48r -5 + 48r = -8 + 8r + -8r Combine like terms: 8r + -8r = 0 -5 + 48r = -8 + 0 -5 + 48r = -8 Add '5' to each side of the equation. -5 + 5 + 48r = -8 + 5 Combine like terms: -5 + 5 = 0 0 + 48r = -8 + 5 48r = -8 + 5 Combine like terms: -8 + 5 = -3 48r = -3 Divide each side by '48'. r = -0.0625 Simplifying r = -0.0625
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