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Simplifying -6(3n + 7) + -1n = 4n + 4 Reorder the terms: -6(7 + 3n) + -1n = 4n + 4 (7 * -6 + 3n * -6) + -1n = 4n + 4 (-42 + -18n) + -1n = 4n + 4 Combine like terms: -18n + -1n = -19n -42 + -19n = 4n + 4 Reorder the terms: -42 + -19n = 4 + 4n Solving -42 + -19n = 4 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -42 + -19n + -4n = 4 + 4n + -4n Combine like terms: -19n + -4n = -23n -42 + -23n = 4 + 4n + -4n Combine like terms: 4n + -4n = 0 -42 + -23n = 4 + 0 -42 + -23n = 4 Add '42' to each side of the equation. -42 + 42 + -23n = 4 + 42 Combine like terms: -42 + 42 = 0 0 + -23n = 4 + 42 -23n = 4 + 42 Combine like terms: 4 + 42 = 46 -23n = 46 Divide each side by '-23'. n = -2 Simplifying n = -2
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