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Simplifying -7(1 + 4n) + -4n = 7(-5 + -4n) (1 * -7 + 4n * -7) + -4n = 7(-5 + -4n) (-7 + -28n) + -4n = 7(-5 + -4n) Combine like terms: -28n + -4n = -32n -7 + -32n = 7(-5 + -4n) -7 + -32n = (-5 * 7 + -4n * 7) -7 + -32n = (-35 + -28n) Solving -7 + -32n = -35 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. -7 + -32n + 28n = -35 + -28n + 28n Combine like terms: -32n + 28n = -4n -7 + -4n = -35 + -28n + 28n Combine like terms: -28n + 28n = 0 -7 + -4n = -35 + 0 -7 + -4n = -35 Add '7' to each side of the equation. -7 + 7 + -4n = -35 + 7 Combine like terms: -7 + 7 = 0 0 + -4n = -35 + 7 -4n = -35 + 7 Combine like terms: -35 + 7 = -28 -4n = -28 Divide each side by '-4'. n = 7 Simplifying n = 7
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