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Simplifying -3(n + -6) = (n + -4) + 7 Reorder the terms: -3(-6 + n) = (n + -4) + 7 (-6 * -3 + n * -3) = (n + -4) + 7 (18 + -3n) = (n + -4) + 7 Reorder the terms: 18 + -3n = (-4 + n) + 7 Remove parenthesis around (-4 + n) 18 + -3n = -4 + n + 7 Reorder the terms: 18 + -3n = -4 + 7 + n Combine like terms: -4 + 7 = 3 18 + -3n = 3 + n Solving 18 + -3n = 3 + 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. 18 + -3n + -1n = 3 + n + -1n Combine like terms: -3n + -1n = -4n 18 + -4n = 3 + n + -1n Combine like terms: n + -1n = 0 18 + -4n = 3 + 0 18 + -4n = 3 Add '-18' to each side of the equation. 18 + -18 + -4n = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -4n = 3 + -18 -4n = 3 + -18 Combine like terms: 3 + -18 = -15 -4n = -15 Divide each side by '-4'. n = 3.75 Simplifying n = 3.75
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