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Simplifying 4 + -3(n + 4) = 6 + -1n Reorder the terms: 4 + -3(4 + n) = 6 + -1n 4 + (4 * -3 + n * -3) = 6 + -1n 4 + (-12 + -3n) = 6 + -1n Combine like terms: 4 + -12 = -8 -8 + -3n = 6 + -1n Solving -8 + -3n = 6 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -8 + -3n + n = 6 + -1n + n Combine like terms: -3n + n = -2n -8 + -2n = 6 + -1n + n Combine like terms: -1n + n = 0 -8 + -2n = 6 + 0 -8 + -2n = 6 Add '8' to each side of the equation. -8 + 8 + -2n = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -2n = 6 + 8 -2n = 6 + 8 Combine like terms: 6 + 8 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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