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Simplifying -6(8 + -5r) = -1r + -6(1 + -4r) (8 * -6 + -5r * -6) = -1r + -6(1 + -4r) (-48 + 30r) = -1r + -6(1 + -4r) -48 + 30r = -1r + (1 * -6 + -4r * -6) -48 + 30r = -1r + (-6 + 24r) Reorder the terms: -48 + 30r = -6 + -1r + 24r Combine like terms: -1r + 24r = 23r -48 + 30r = -6 + 23r Solving -48 + 30r = -6 + 23r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-23r' to each side of the equation. -48 + 30r + -23r = -6 + 23r + -23r Combine like terms: 30r + -23r = 7r -48 + 7r = -6 + 23r + -23r Combine like terms: 23r + -23r = 0 -48 + 7r = -6 + 0 -48 + 7r = -6 Add '48' to each side of the equation. -48 + 48 + 7r = -6 + 48 Combine like terms: -48 + 48 = 0 0 + 7r = -6 + 48 7r = -6 + 48 Combine like terms: -6 + 48 = 42 7r = 42 Divide each side by '7'. r = 6 Simplifying r = 6
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