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Simplifying 62 = 8(1 + -7r) + -2 62 = (1 * 8 + -7r * 8) + -2 62 = (8 + -56r) + -2 Reorder the terms: 62 = 8 + -2 + -56r Combine like terms: 8 + -2 = 6 62 = 6 + -56r Solving 62 = 6 + -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. 62 + 56r = 6 + -56r + 56r Combine like terms: -56r + 56r = 0 62 + 56r = 6 + 0 62 + 56r = 6 Add '-62' to each side of the equation. 62 + -62 + 56r = 6 + -62 Combine like terms: 62 + -62 = 0 0 + 56r = 6 + -62 56r = 6 + -62 Combine like terms: 6 + -62 = -56 56r = -56 Divide each side by '56'. r = -1 Simplifying r = -1
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