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Simplifying -23 + -7n = -6(n + 5) Reorder the terms: -23 + -7n = -6(5 + n) -23 + -7n = (5 * -6 + n * -6) -23 + -7n = (-30 + -6n) Solving -23 + -7n = -30 + -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. -23 + -7n + 6n = -30 + -6n + 6n Combine like terms: -7n + 6n = -1n -23 + -1n = -30 + -6n + 6n Combine like terms: -6n + 6n = 0 -23 + -1n = -30 + 0 -23 + -1n = -30 Add '23' to each side of the equation. -23 + 23 + -1n = -30 + 23 Combine like terms: -23 + 23 = 0 0 + -1n = -30 + 23 -1n = -30 + 23 Combine like terms: -30 + 23 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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