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Simplifying -19n = 15n + 4(-6n + 10) Reorder the terms: -19n = 15n + 4(10 + -6n) -19n = 15n + (10 * 4 + -6n * 4) -19n = 15n + (40 + -24n) Reorder the terms: -19n = 40 + 15n + -24n Combine like terms: 15n + -24n = -9n -19n = 40 + -9n Solving -19n = 40 + -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. -19n + 9n = 40 + -9n + 9n Combine like terms: -19n + 9n = -10n -10n = 40 + -9n + 9n Combine like terms: -9n + 9n = 0 -10n = 40 + 0 -10n = 40 Divide each side by '-10'. n = -4 Simplifying n = -4
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