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Simplifying 5(n + 6) = (n + -3) + 4 Reorder the terms: 5(6 + n) = (n + -3) + 4 (6 * 5 + n * 5) = (n + -3) + 4 (30 + 5n) = (n + -3) + 4 Reorder the terms: 30 + 5n = (-3 + n) + 4 Remove parenthesis around (-3 + n) 30 + 5n = -3 + n + 4 Reorder the terms: 30 + 5n = -3 + 4 + n Combine like terms: -3 + 4 = 1 30 + 5n = 1 + n Solving 30 + 5n = 1 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 30 + 5n + -1n = 1 + n + -1n Combine like terms: 5n + -1n = 4n 30 + 4n = 1 + n + -1n Combine like terms: n + -1n = 0 30 + 4n = 1 + 0 30 + 4n = 1 Add '-30' to each side of the equation. 30 + -30 + 4n = 1 + -30 Combine like terms: 30 + -30 = 0 0 + 4n = 1 + -30 4n = 1 + -30 Combine like terms: 1 + -30 = -29 4n = -29 Divide each side by '4'. n = -7.25 Simplifying n = -7.25
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