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Simplifying 4n + 3 = -6(n + 3) + 1 Reorder the terms: 3 + 4n = -6(n + 3) + 1 Reorder the terms: 3 + 4n = -6(3 + n) + 1 3 + 4n = (3 * -6 + n * -6) + 1 3 + 4n = (-18 + -6n) + 1 Reorder the terms: 3 + 4n = -18 + 1 + -6n Combine like terms: -18 + 1 = -17 3 + 4n = -17 + -6n Solving 3 + 4n = -17 + -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. 3 + 4n + 6n = -17 + -6n + 6n Combine like terms: 4n + 6n = 10n 3 + 10n = -17 + -6n + 6n Combine like terms: -6n + 6n = 0 3 + 10n = -17 + 0 3 + 10n = -17 Add '-3' to each side of the equation. 3 + -3 + 10n = -17 + -3 Combine like terms: 3 + -3 = 0 0 + 10n = -17 + -3 10n = -17 + -3 Combine like terms: -17 + -3 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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