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Simplifying 4(n + -2) + -6n = -7(n + 4) Reorder the terms: 4(-2 + n) + -6n = -7(n + 4) (-2 * 4 + n * 4) + -6n = -7(n + 4) (-8 + 4n) + -6n = -7(n + 4) Combine like terms: 4n + -6n = -2n -8 + -2n = -7(n + 4) Reorder the terms: -8 + -2n = -7(4 + n) -8 + -2n = (4 * -7 + n * -7) -8 + -2n = (-28 + -7n) Solving -8 + -2n = -28 + -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. -8 + -2n + 7n = -28 + -7n + 7n Combine like terms: -2n + 7n = 5n -8 + 5n = -28 + -7n + 7n Combine like terms: -7n + 7n = 0 -8 + 5n = -28 + 0 -8 + 5n = -28 Add '8' to each side of the equation. -8 + 8 + 5n = -28 + 8 Combine like terms: -8 + 8 = 0 0 + 5n = -28 + 8 5n = -28 + 8 Combine like terms: -28 + 8 = -20 5n = -20 Divide each side by '5'. n = -4 Simplifying n = -4
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