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Simplifying 27(3n + -5) + -100n = 3(9 + -3n) Reorder the terms: 27(-5 + 3n) + -100n = 3(9 + -3n) (-5 * 27 + 3n * 27) + -100n = 3(9 + -3n) (-135 + 81n) + -100n = 3(9 + -3n) Combine like terms: 81n + -100n = -19n -135 + -19n = 3(9 + -3n) -135 + -19n = (9 * 3 + -3n * 3) -135 + -19n = (27 + -9n) Solving -135 + -19n = 27 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -135 + -19n + 9n = 27 + -9n + 9n Combine like terms: -19n + 9n = -10n -135 + -10n = 27 + -9n + 9n Combine like terms: -9n + 9n = 0 -135 + -10n = 27 + 0 -135 + -10n = 27 Add '135' to each side of the equation. -135 + 135 + -10n = 27 + 135 Combine like terms: -135 + 135 = 0 0 + -10n = 27 + 135 -10n = 27 + 135 Combine like terms: 27 + 135 = 162 -10n = 162 Divide each side by '-10'. n = -16.2 Simplifying n = -16.2
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