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Simplifying -40 + 7n = 6(n + -8) Reorder the terms: -40 + 7n = 6(-8 + n) -40 + 7n = (-8 * 6 + n * 6) -40 + 7n = (-48 + 6n) Solving -40 + 7n = -48 + 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. -40 + 7n + -6n = -48 + 6n + -6n Combine like terms: 7n + -6n = 1n -40 + 1n = -48 + 6n + -6n Combine like terms: 6n + -6n = 0 -40 + 1n = -48 + 0 -40 + 1n = -48 Add '40' to each side of the equation. -40 + 40 + 1n = -48 + 40 Combine like terms: -40 + 40 = 0 0 + 1n = -48 + 40 1n = -48 + 40 Combine like terms: -48 + 40 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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