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Simplifying -19 + -2n = 5(n + -8) Reorder the terms: -19 + -2n = 5(-8 + n) -19 + -2n = (-8 * 5 + n * 5) -19 + -2n = (-40 + 5n) Solving -19 + -2n = -40 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -19 + -2n + -5n = -40 + 5n + -5n Combine like terms: -2n + -5n = -7n -19 + -7n = -40 + 5n + -5n Combine like terms: 5n + -5n = 0 -19 + -7n = -40 + 0 -19 + -7n = -40 Add '19' to each side of the equation. -19 + 19 + -7n = -40 + 19 Combine like terms: -19 + 19 = 0 0 + -7n = -40 + 19 -7n = -40 + 19 Combine like terms: -40 + 19 = -21 -7n = -21 Divide each side by '-7'. n = 3 Simplifying n = 3
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