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Simplifying 6 + 8(1 + 4r) = 5(r + -8) 6 + (1 * 8 + 4r * 8) = 5(r + -8) 6 + (8 + 32r) = 5(r + -8) Combine like terms: 6 + 8 = 14 14 + 32r = 5(r + -8) Reorder the terms: 14 + 32r = 5(-8 + r) 14 + 32r = (-8 * 5 + r * 5) 14 + 32r = (-40 + 5r) Solving 14 + 32r = -40 + 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. 14 + 32r + -5r = -40 + 5r + -5r Combine like terms: 32r + -5r = 27r 14 + 27r = -40 + 5r + -5r Combine like terms: 5r + -5r = 0 14 + 27r = -40 + 0 14 + 27r = -40 Add '-14' to each side of the equation. 14 + -14 + 27r = -40 + -14 Combine like terms: 14 + -14 = 0 0 + 27r = -40 + -14 27r = -40 + -14 Combine like terms: -40 + -14 = -54 27r = -54 Divide each side by '27'. r = -2 Simplifying r = -2
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