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Simplifying (12n + -40) + -1(10n + 30) = n + 10 Reorder the terms: (-40 + 12n) + -1(10n + 30) = n + 10 Remove parenthesis around (-40 + 12n) -40 + 12n + -1(10n + 30) = n + 10 Reorder the terms: -40 + 12n + -1(30 + 10n) = n + 10 -40 + 12n + (30 * -1 + 10n * -1) = n + 10 -40 + 12n + (-30 + -10n) = n + 10 Reorder the terms: -40 + -30 + 12n + -10n = n + 10 Combine like terms: -40 + -30 = -70 -70 + 12n + -10n = n + 10 Combine like terms: 12n + -10n = 2n -70 + 2n = n + 10 Reorder the terms: -70 + 2n = 10 + n Solving -70 + 2n = 10 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -70 + 2n + -1n = 10 + n + -1n Combine like terms: 2n + -1n = 1n -70 + 1n = 10 + n + -1n Combine like terms: n + -1n = 0 -70 + 1n = 10 + 0 -70 + 1n = 10 Add '70' to each side of the equation. -70 + 70 + 1n = 10 + 70 Combine like terms: -70 + 70 = 0 0 + 1n = 10 + 70 1n = 10 + 70 Combine like terms: 10 + 70 = 80 1n = 80 Divide each side by '1'. n = 80 Simplifying n = 80
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