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Simplifying -8(-7r + 6) = 1 + 7r Reorder the terms: -8(6 + -7r) = 1 + 7r (6 * -8 + -7r * -8) = 1 + 7r (-48 + 56r) = 1 + 7r Solving -48 + 56r = 1 + 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. -48 + 56r + -7r = 1 + 7r + -7r Combine like terms: 56r + -7r = 49r -48 + 49r = 1 + 7r + -7r Combine like terms: 7r + -7r = 0 -48 + 49r = 1 + 0 -48 + 49r = 1 Add '48' to each side of the equation. -48 + 48 + 49r = 1 + 48 Combine like terms: -48 + 48 = 0 0 + 49r = 1 + 48 49r = 1 + 48 Combine like terms: 1 + 48 = 49 49r = 49 Divide each side by '49'. r = 1 Simplifying r = 1
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