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Simplifying 4(3n + -10) + 4 = 2(n + 7) Reorder the terms: 4(-10 + 3n) + 4 = 2(n + 7) (-10 * 4 + 3n * 4) + 4 = 2(n + 7) (-40 + 12n) + 4 = 2(n + 7) Reorder the terms: -40 + 4 + 12n = 2(n + 7) Combine like terms: -40 + 4 = -36 -36 + 12n = 2(n + 7) Reorder the terms: -36 + 12n = 2(7 + n) -36 + 12n = (7 * 2 + n * 2) -36 + 12n = (14 + 2n) Solving -36 + 12n = 14 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -36 + 12n + -2n = 14 + 2n + -2n Combine like terms: 12n + -2n = 10n -36 + 10n = 14 + 2n + -2n Combine like terms: 2n + -2n = 0 -36 + 10n = 14 + 0 -36 + 10n = 14 Add '36' to each side of the equation. -36 + 36 + 10n = 14 + 36 Combine like terms: -36 + 36 = 0 0 + 10n = 14 + 36 10n = 14 + 36 Combine like terms: 14 + 36 = 50 10n = 50 Divide each side by '10'. n = 5 Simplifying n = 5
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