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Simplifying 16(n + -7) = -4(n + 38) Reorder the terms: 16(-7 + n) = -4(n + 38) (-7 * 16 + n * 16) = -4(n + 38) (-112 + 16n) = -4(n + 38) Reorder the terms: -112 + 16n = -4(38 + n) -112 + 16n = (38 * -4 + n * -4) -112 + 16n = (-152 + -4n) Solving -112 + 16n = -152 + -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. -112 + 16n + 4n = -152 + -4n + 4n Combine like terms: 16n + 4n = 20n -112 + 20n = -152 + -4n + 4n Combine like terms: -4n + 4n = 0 -112 + 20n = -152 + 0 -112 + 20n = -152 Add '112' to each side of the equation. -112 + 112 + 20n = -152 + 112 Combine like terms: -112 + 112 = 0 0 + 20n = -152 + 112 20n = -152 + 112 Combine like terms: -152 + 112 = -40 20n = -40 Divide each side by '20'. n = -2 Simplifying n = -2
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