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Simplifying 2(5n + -8) + -5n = 2(3n + -4) Reorder the terms: 2(-8 + 5n) + -5n = 2(3n + -4) (-8 * 2 + 5n * 2) + -5n = 2(3n + -4) (-16 + 10n) + -5n = 2(3n + -4) Combine like terms: 10n + -5n = 5n -16 + 5n = 2(3n + -4) Reorder the terms: -16 + 5n = 2(-4 + 3n) -16 + 5n = (-4 * 2 + 3n * 2) -16 + 5n = (-8 + 6n) Solving -16 + 5n = -8 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -16 + 5n + -6n = -8 + 6n + -6n Combine like terms: 5n + -6n = -1n -16 + -1n = -8 + 6n + -6n Combine like terms: 6n + -6n = 0 -16 + -1n = -8 + 0 -16 + -1n = -8 Add '16' to each side of the equation. -16 + 16 + -1n = -8 + 16 Combine like terms: -16 + 16 = 0 0 + -1n = -8 + 16 -1n = -8 + 16 Combine like terms: -8 + 16 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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