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Simplifying 7 + 4n = -6(n + -5) + -3 Reorder the terms: 7 + 4n = -6(-5 + n) + -3 7 + 4n = (-5 * -6 + n * -6) + -3 7 + 4n = (30 + -6n) + -3 Reorder the terms: 7 + 4n = 30 + -3 + -6n Combine like terms: 30 + -3 = 27 7 + 4n = 27 + -6n Solving 7 + 4n = 27 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 7 + 4n + 6n = 27 + -6n + 6n Combine like terms: 4n + 6n = 10n 7 + 10n = 27 + -6n + 6n Combine like terms: -6n + 6n = 0 7 + 10n = 27 + 0 7 + 10n = 27 Add '-7' to each side of the equation. 7 + -7 + 10n = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 10n = 27 + -7 10n = 27 + -7 Combine like terms: 27 + -7 = 20 10n = 20 Divide each side by '10'. n = 2 Simplifying n = 2
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