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Simplifying 32 + -2n = 4(-7 + -3n) 32 + -2n = (-7 * 4 + -3n * 4) 32 + -2n = (-28 + -12n) Solving 32 + -2n = -28 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 32 + -2n + 12n = -28 + -12n + 12n Combine like terms: -2n + 12n = 10n 32 + 10n = -28 + -12n + 12n Combine like terms: -12n + 12n = 0 32 + 10n = -28 + 0 32 + 10n = -28 Add '-32' to each side of the equation. 32 + -32 + 10n = -28 + -32 Combine like terms: 32 + -32 = 0 0 + 10n = -28 + -32 10n = -28 + -32 Combine like terms: -28 + -32 = -60 10n = -60 Divide each side by '10'. n = -6 Simplifying n = -6
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