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Simplifying 6 + -4(n + 3) = 8(2n + 4) + -1n Reorder the terms: 6 + -4(3 + n) = 8(2n + 4) + -1n 6 + (3 * -4 + n * -4) = 8(2n + 4) + -1n 6 + (-12 + -4n) = 8(2n + 4) + -1n Combine like terms: 6 + -12 = -6 -6 + -4n = 8(2n + 4) + -1n Reorder the terms: -6 + -4n = 8(4 + 2n) + -1n -6 + -4n = (4 * 8 + 2n * 8) + -1n -6 + -4n = (32 + 16n) + -1n Combine like terms: 16n + -1n = 15n -6 + -4n = 32 + 15n Solving -6 + -4n = 32 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -6 + -4n + -15n = 32 + 15n + -15n Combine like terms: -4n + -15n = -19n -6 + -19n = 32 + 15n + -15n Combine like terms: 15n + -15n = 0 -6 + -19n = 32 + 0 -6 + -19n = 32 Add '6' to each side of the equation. -6 + 6 + -19n = 32 + 6 Combine like terms: -6 + 6 = 0 0 + -19n = 32 + 6 -19n = 32 + 6 Combine like terms: 32 + 6 = 38 -19n = 38 Divide each side by '-19'. n = -2 Simplifying n = -2
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