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Simplifying -14 + -7 = 6n + -5(2 + n) Combine like terms: -14 + -7 = -21 -21 = 6n + -5(2 + n) -21 = 6n + (2 * -5 + n * -5) -21 = 6n + (-10 + -5n) Reorder the terms: -21 = -10 + 6n + -5n Combine like terms: 6n + -5n = 1n -21 = -10 + 1n Solving -21 = -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. -21 + -1n = -10 + 1n + -1n Combine like terms: 1n + -1n = 0 -21 + -1n = -10 + 0 -21 + -1n = -10 Add '21' to each side of the equation. -21 + 21 + -1n = -10 + 21 Combine like terms: -21 + 21 = 0 0 + -1n = -10 + 21 -1n = -10 + 21 Combine like terms: -10 + 21 = 11 -1n = 11 Divide each side by '-1'. n = -11 Simplifying n = -11
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