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Simplifying -7(1 + 5n) + -4n = -7 + -4n (1 * -7 + 5n * -7) + -4n = -7 + -4n (-7 + -35n) + -4n = -7 + -4n Combine like terms: -35n + -4n = -39n -7 + -39n = -7 + -4n Add '7' to each side of the equation. -7 + 7 + -39n = -7 + 7 + -4n Combine like terms: -7 + 7 = 0 0 + -39n = -7 + 7 + -4n -39n = -7 + 7 + -4n Combine like terms: -7 + 7 = 0 -39n = 0 + -4n -39n = -4n Solving -39n = -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -39n + 4n = -4n + 4n Combine like terms: -39n + 4n = -35n -35n = -4n + 4n Combine like terms: -4n + 4n = 0 -35n = 0 Divide each side by '-35'. n = 0 Simplifying n = 0
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