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Simplifying 5(n + -3) = -55 + -6(n + -8) Reorder the terms: 5(-3 + n) = -55 + -6(n + -8) (-3 * 5 + n * 5) = -55 + -6(n + -8) (-15 + 5n) = -55 + -6(n + -8) Reorder the terms: -15 + 5n = -55 + -6(-8 + n) -15 + 5n = -55 + (-8 * -6 + n * -6) -15 + 5n = -55 + (48 + -6n) Combine like terms: -55 + 48 = -7 -15 + 5n = -7 + -6n Solving -15 + 5n = -7 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -15 + 5n + 6n = -7 + -6n + 6n Combine like terms: 5n + 6n = 11n -15 + 11n = -7 + -6n + 6n Combine like terms: -6n + 6n = 0 -15 + 11n = -7 + 0 -15 + 11n = -7 Add '15' to each side of the equation. -15 + 15 + 11n = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 11n = -7 + 15 11n = -7 + 15 Combine like terms: -7 + 15 = 8 11n = 8 Divide each side by '11'. n = 0.7272727273 Simplifying n = 0.7272727273
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