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Simplifying -17 + -4 = 7n + -6(2 + n) Combine like terms: -17 + -4 = -21 -21 = 7n + -6(2 + n) -21 = 7n + (2 * -6 + n * -6) -21 = 7n + (-12 + -6n) Reorder the terms: -21 = -12 + 7n + -6n Combine like terms: 7n + -6n = 1n -21 = -12 + 1n Solving -21 = -12 + 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 = -12 + 1n + -1n Combine like terms: 1n + -1n = 0 -21 + -1n = -12 + 0 -21 + -1n = -12 Add '21' to each side of the equation. -21 + 21 + -1n = -12 + 21 Combine like terms: -21 + 21 = 0 0 + -1n = -12 + 21 -1n = -12 + 21 Combine like terms: -12 + 21 = 9 -1n = 9 Divide each side by '-1'. n = -9 Simplifying n = -9
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