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Simplifying -4n + -2(5n + 6) = 27 + -1n Reorder the terms: -4n + -2(6 + 5n) = 27 + -1n -4n + (6 * -2 + 5n * -2) = 27 + -1n -4n + (-12 + -10n) = 27 + -1n Reorder the terms: -12 + -4n + -10n = 27 + -1n Combine like terms: -4n + -10n = -14n -12 + -14n = 27 + -1n Solving -12 + -14n = 27 + -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. -12 + -14n + n = 27 + -1n + n Combine like terms: -14n + n = -13n -12 + -13n = 27 + -1n + n Combine like terms: -1n + n = 0 -12 + -13n = 27 + 0 -12 + -13n = 27 Add '12' to each side of the equation. -12 + 12 + -13n = 27 + 12 Combine like terms: -12 + 12 = 0 0 + -13n = 27 + 12 -13n = 27 + 12 Combine like terms: 27 + 12 = 39 -13n = 39 Divide each side by '-13'. n = -3 Simplifying n = -3
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