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Simplifying 2(-8 + -4n) + 3 = 7n + -19 (-8 * 2 + -4n * 2) + 3 = 7n + -19 (-16 + -8n) + 3 = 7n + -19 Reorder the terms: -16 + 3 + -8n = 7n + -19 Combine like terms: -16 + 3 = -13 -13 + -8n = 7n + -19 Reorder the terms: -13 + -8n = -19 + 7n Solving -13 + -8n = -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. -13 + -8n + -7n = -19 + 7n + -7n Combine like terms: -8n + -7n = -15n -13 + -15n = -19 + 7n + -7n Combine like terms: 7n + -7n = 0 -13 + -15n = -19 + 0 -13 + -15n = -19 Add '13' to each side of the equation. -13 + 13 + -15n = -19 + 13 Combine like terms: -13 + 13 = 0 0 + -15n = -19 + 13 -15n = -19 + 13 Combine like terms: -19 + 13 = -6 -15n = -6 Divide each side by '-15'. n = 0.4 Simplifying n = 0.4
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