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Simplifying 5(2n + -8) + -6n = 7(n + -10) Reorder the terms: 5(-8 + 2n) + -6n = 7(n + -10) (-8 * 5 + 2n * 5) + -6n = 7(n + -10) (-40 + 10n) + -6n = 7(n + -10) Combine like terms: 10n + -6n = 4n -40 + 4n = 7(n + -10) Reorder the terms: -40 + 4n = 7(-10 + n) -40 + 4n = (-10 * 7 + n * 7) -40 + 4n = (-70 + 7n) Solving -40 + 4n = -70 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -40 + 4n + -7n = -70 + 7n + -7n Combine like terms: 4n + -7n = -3n -40 + -3n = -70 + 7n + -7n Combine like terms: 7n + -7n = 0 -40 + -3n = -70 + 0 -40 + -3n = -70 Add '40' to each side of the equation. -40 + 40 + -3n = -70 + 40 Combine like terms: -40 + 40 = 0 0 + -3n = -70 + 40 -3n = -70 + 40 Combine like terms: -70 + 40 = -30 -3n = -30 Divide each side by '-3'. n = 10 Simplifying n = 10
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