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Simplifying 2(-8n + -4) = -38 + -1n Reorder the terms: 2(-4 + -8n) = -38 + -1n (-4 * 2 + -8n * 2) = -38 + -1n (-8 + -16n) = -38 + -1n Solving -8 + -16n = -38 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -8 + -16n + n = -38 + -1n + n Combine like terms: -16n + n = -15n -8 + -15n = -38 + -1n + n Combine like terms: -1n + n = 0 -8 + -15n = -38 + 0 -8 + -15n = -38 Add '8' to each side of the equation. -8 + 8 + -15n = -38 + 8 Combine like terms: -8 + 8 = 0 0 + -15n = -38 + 8 -15n = -38 + 8 Combine like terms: -38 + 8 = -30 -15n = -30 Divide each side by '-15'. n = 2 Simplifying n = 2
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