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Simplifying -6(-2n + 1) + 4n = (n + 12) Reorder the terms: -6(1 + -2n) + 4n = (n + 12) (1 * -6 + -2n * -6) + 4n = (n + 12) (-6 + 12n) + 4n = (n + 12) Combine like terms: 12n + 4n = 16n -6 + 16n = (n + 12) Reorder the terms: -6 + 16n = (12 + n) Remove parenthesis around (12 + n) -6 + 16n = 12 + n Solving -6 + 16n = 12 + 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. -6 + 16n + -1n = 12 + n + -1n Combine like terms: 16n + -1n = 15n -6 + 15n = 12 + n + -1n Combine like terms: n + -1n = 0 -6 + 15n = 12 + 0 -6 + 15n = 12 Add '6' to each side of the equation. -6 + 6 + 15n = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 15n = 12 + 6 15n = 12 + 6 Combine like terms: 12 + 6 = 18 15n = 18 Divide each side by '15'. n = 1.2 Simplifying n = 1.2
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