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Simplifying 12n + -7 = 2n + 33 Reorder the terms: -7 + 12n = 2n + 33 Reorder the terms: -7 + 12n = 33 + 2n Solving -7 + 12n = 33 + 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. -7 + 12n + -2n = 33 + 2n + -2n Combine like terms: 12n + -2n = 10n -7 + 10n = 33 + 2n + -2n Combine like terms: 2n + -2n = 0 -7 + 10n = 33 + 0 -7 + 10n = 33 Add '7' to each side of the equation. -7 + 7 + 10n = 33 + 7 Combine like terms: -7 + 7 = 0 0 + 10n = 33 + 7 10n = 33 + 7 Combine like terms: 33 + 7 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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