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Simplifying -12 + -3 = 6n + -5(2 + n) Combine like terms: -12 + -3 = -15 -15 = 6n + -5(2 + n) -15 = 6n + (2 * -5 + n * -5) -15 = 6n + (-10 + -5n) Reorder the terms: -15 = -10 + 6n + -5n Combine like terms: 6n + -5n = 1n -15 = -10 + 1n Solving -15 = -10 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -15 + -1n = -10 + 1n + -1n Combine like terms: 1n + -1n = 0 -15 + -1n = -10 + 0 -15 + -1n = -10 Add '15' to each side of the equation. -15 + 15 + -1n = -10 + 15 Combine like terms: -15 + 15 = 0 0 + -1n = -10 + 15 -1n = -10 + 15 Combine like terms: -10 + 15 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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