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Simplifying 2(n + -3) + 4 = 10(n + -8) + -2n Reorder the terms: 2(-3 + n) + 4 = 10(n + -8) + -2n (-3 * 2 + n * 2) + 4 = 10(n + -8) + -2n (-6 + 2n) + 4 = 10(n + -8) + -2n Reorder the terms: -6 + 4 + 2n = 10(n + -8) + -2n Combine like terms: -6 + 4 = -2 -2 + 2n = 10(n + -8) + -2n Reorder the terms: -2 + 2n = 10(-8 + n) + -2n -2 + 2n = (-8 * 10 + n * 10) + -2n -2 + 2n = (-80 + 10n) + -2n Combine like terms: 10n + -2n = 8n -2 + 2n = -80 + 8n Solving -2 + 2n = -80 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -2 + 2n + -8n = -80 + 8n + -8n Combine like terms: 2n + -8n = -6n -2 + -6n = -80 + 8n + -8n Combine like terms: 8n + -8n = 0 -2 + -6n = -80 + 0 -2 + -6n = -80 Add '2' to each side of the equation. -2 + 2 + -6n = -80 + 2 Combine like terms: -2 + 2 = 0 0 + -6n = -80 + 2 -6n = -80 + 2 Combine like terms: -80 + 2 = -78 -6n = -78 Divide each side by '-6'. n = 13 Simplifying n = 13
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