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Simplifying -5 = 5(7n + -8) Reorder the terms: -5 = 5(-8 + 7n) -5 = (-8 * 5 + 7n * 5) -5 = (-40 + 35n) Solving -5 = -40 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. -5 + -35n = -40 + 35n + -35n Combine like terms: 35n + -35n = 0 -5 + -35n = -40 + 0 -5 + -35n = -40 Add '5' to each side of the equation. -5 + 5 + -35n = -40 + 5 Combine like terms: -5 + 5 = 0 0 + -35n = -40 + 5 -35n = -40 + 5 Combine like terms: -40 + 5 = -35 -35n = -35 Divide each side by '-35'. n = 1 Simplifying n = 1
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