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Simplifying 4(n + -2) + -7(n + 7) = 0 Reorder the terms: 4(-2 + n) + -7(n + 7) = 0 (-2 * 4 + n * 4) + -7(n + 7) = 0 (-8 + 4n) + -7(n + 7) = 0 Reorder the terms: -8 + 4n + -7(7 + n) = 0 -8 + 4n + (7 * -7 + n * -7) = 0 -8 + 4n + (-49 + -7n) = 0 Reorder the terms: -8 + -49 + 4n + -7n = 0 Combine like terms: -8 + -49 = -57 -57 + 4n + -7n = 0 Combine like terms: 4n + -7n = -3n -57 + -3n = 0 Solving -57 + -3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -3n = 0 + 57 Combine like terms: -57 + 57 = 0 0 + -3n = 0 + 57 -3n = 0 + 57 Combine like terms: 0 + 57 = 57 -3n = 57 Divide each side by '-3'. n = -19 Simplifying n = -19
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