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Simplifying -44 + 10n = 4(1 + 4n) -44 + 10n = (1 * 4 + 4n * 4) -44 + 10n = (4 + 16n) Solving -44 + 10n = 4 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -44 + 10n + -16n = 4 + 16n + -16n Combine like terms: 10n + -16n = -6n -44 + -6n = 4 + 16n + -16n Combine like terms: 16n + -16n = 0 -44 + -6n = 4 + 0 -44 + -6n = 4 Add '44' to each side of the equation. -44 + 44 + -6n = 4 + 44 Combine like terms: -44 + 44 = 0 0 + -6n = 4 + 44 -6n = 4 + 44 Combine like terms: 4 + 44 = 48 -6n = 48 Divide each side by '-6'. n = -8 Simplifying n = -8
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