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Simplifying -3(n + 4) + 8 = -1n + -18 Reorder the terms: -3(4 + n) + 8 = -1n + -18 (4 * -3 + n * -3) + 8 = -1n + -18 (-12 + -3n) + 8 = -1n + -18 Reorder the terms: -12 + 8 + -3n = -1n + -18 Combine like terms: -12 + 8 = -4 -4 + -3n = -1n + -18 Reorder the terms: -4 + -3n = -18 + -1n Solving -4 + -3n = -18 + -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. -4 + -3n + n = -18 + -1n + n Combine like terms: -3n + n = -2n -4 + -2n = -18 + -1n + n Combine like terms: -1n + n = 0 -4 + -2n = -18 + 0 -4 + -2n = -18 Add '4' to each side of the equation. -4 + 4 + -2n = -18 + 4 Combine like terms: -4 + 4 = 0 0 + -2n = -18 + 4 -2n = -18 + 4 Combine like terms: -18 + 4 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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