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Simplifying -2[5n + 4] = 19 + 7n Reorder the terms: -2[4 + 5n] = 19 + 7n [4 * -2 + 5n * -2] = 19 + 7n [-8 + -10n] = 19 + 7n Solving -8 + -10n = 19 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -8 + -10n + -7n = 19 + 7n + -7n Combine like terms: -10n + -7n = -17n -8 + -17n = 19 + 7n + -7n Combine like terms: 7n + -7n = 0 -8 + -17n = 19 + 0 -8 + -17n = 19 Add '8' to each side of the equation. -8 + 8 + -17n = 19 + 8 Combine like terms: -8 + 8 = 0 0 + -17n = 19 + 8 -17n = 19 + 8 Combine like terms: 19 + 8 = 27 -17n = 27 Divide each side by '-17'. n = -1.588235294 Simplifying n = -1.588235294
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