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Simplifying 44 + n = 7(10n + -2) + -11 Reorder the terms: 44 + n = 7(-2 + 10n) + -11 44 + n = (-2 * 7 + 10n * 7) + -11 44 + n = (-14 + 70n) + -11 Reorder the terms: 44 + n = -14 + -11 + 70n Combine like terms: -14 + -11 = -25 44 + n = -25 + 70n Solving 44 + n = -25 + 70n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-70n' to each side of the equation. 44 + n + -70n = -25 + 70n + -70n Combine like terms: n + -70n = -69n 44 + -69n = -25 + 70n + -70n Combine like terms: 70n + -70n = 0 44 + -69n = -25 + 0 44 + -69n = -25 Add '-44' to each side of the equation. 44 + -44 + -69n = -25 + -44 Combine like terms: 44 + -44 = 0 0 + -69n = -25 + -44 -69n = -25 + -44 Combine like terms: -25 + -44 = -69 -69n = -69 Divide each side by '-69'. n = 1 Simplifying n = 1
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