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Simplifying 19 = -5(n + 1) + -4(8n + -6) Reorder the terms: 19 = -5(1 + n) + -4(8n + -6) 19 = (1 * -5 + n * -5) + -4(8n + -6) 19 = (-5 + -5n) + -4(8n + -6) Reorder the terms: 19 = -5 + -5n + -4(-6 + 8n) 19 = -5 + -5n + (-6 * -4 + 8n * -4) 19 = -5 + -5n + (24 + -32n) Reorder the terms: 19 = -5 + 24 + -5n + -32n Combine like terms: -5 + 24 = 19 19 = 19 + -5n + -32n Combine like terms: -5n + -32n = -37n 19 = 19 + -37n Add '-19' to each side of the equation. 19 + -19 = 19 + -19 + -37n Combine like terms: 19 + -19 = 0 0 = 19 + -19 + -37n Combine like terms: 19 + -19 = 0 0 = 0 + -37n 0 = -37n Solving 0 = -37n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '37n' to each side of the equation. 0 + 37n = -37n + 37n Remove the zero: 37n = -37n + 37n Combine like terms: -37n + 37n = 0 37n = 0 Divide each side by '37'. n = 0 Simplifying n = 0
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