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Simplifying -8r + 14 = -5(8 + 7r) Reorder the terms: 14 + -8r = -5(8 + 7r) 14 + -8r = (8 * -5 + 7r * -5) 14 + -8r = (-40 + -35r) Solving 14 + -8r = -40 + -35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35r' to each side of the equation. 14 + -8r + 35r = -40 + -35r + 35r Combine like terms: -8r + 35r = 27r 14 + 27r = -40 + -35r + 35r Combine like terms: -35r + 35r = 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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