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Simplifying 7(2n + -4) + -5 = -40 + 7n Reorder the terms: 7(-4 + 2n) + -5 = -40 + 7n (-4 * 7 + 2n * 7) + -5 = -40 + 7n (-28 + 14n) + -5 = -40 + 7n Reorder the terms: -28 + -5 + 14n = -40 + 7n Combine like terms: -28 + -5 = -33 -33 + 14n = -40 + 7n Solving -33 + 14n = -40 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -33 + 14n + -7n = -40 + 7n + -7n Combine like terms: 14n + -7n = 7n -33 + 7n = -40 + 7n + -7n Combine like terms: 7n + -7n = 0 -33 + 7n = -40 + 0 -33 + 7n = -40 Add '33' to each side of the equation. -33 + 33 + 7n = -40 + 33 Combine like terms: -33 + 33 = 0 0 + 7n = -40 + 33 7n = -40 + 33 Combine like terms: -40 + 33 = -7 7n = -7 Divide each side by '7'. n = -1 Simplifying n = -1
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