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Simplifying 44 = 3(-4n + -7) + -7(-7n + -4) Reorder the terms: 44 = 3(-7 + -4n) + -7(-7n + -4) 44 = (-7 * 3 + -4n * 3) + -7(-7n + -4) 44 = (-21 + -12n) + -7(-7n + -4) Reorder the terms: 44 = -21 + -12n + -7(-4 + -7n) 44 = -21 + -12n + (-4 * -7 + -7n * -7) 44 = -21 + -12n + (28 + 49n) Reorder the terms: 44 = -21 + 28 + -12n + 49n Combine like terms: -21 + 28 = 7 44 = 7 + -12n + 49n Combine like terms: -12n + 49n = 37n 44 = 7 + 37n Solving 44 = 7 + 37n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37n' to each side of the equation. 44 + -37n = 7 + 37n + -37n Combine like terms: 37n + -37n = 0 44 + -37n = 7 + 0 44 + -37n = 7 Add '-44' to each side of the equation. 44 + -44 + -37n = 7 + -44 Combine like terms: 44 + -44 = 0 0 + -37n = 7 + -44 -37n = 7 + -44 Combine like terms: 7 + -44 = -37 -37n = -37 Divide each side by '-37'. n = 1 Simplifying n = 1
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