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Simplifying -44 = 4(-4 + -7n) + 7(-1 + 7n) -44 = (-4 * 4 + -7n * 4) + 7(-1 + 7n) -44 = (-16 + -28n) + 7(-1 + 7n) -44 = -16 + -28n + (-1 * 7 + 7n * 7) -44 = -16 + -28n + (-7 + 49n) Reorder the terms: -44 = -16 + -7 + -28n + 49n Combine like terms: -16 + -7 = -23 -44 = -23 + -28n + 49n Combine like terms: -28n + 49n = 21n -44 = -23 + 21n Solving -44 = -23 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. -44 + -21n = -23 + 21n + -21n Combine like terms: 21n + -21n = 0 -44 + -21n = -23 + 0 -44 + -21n = -23 Add '44' to each side of the equation. -44 + 44 + -21n = -23 + 44 Combine like terms: -44 + 44 = 0 0 + -21n = -23 + 44 -21n = -23 + 44 Combine like terms: -23 + 44 = 21 -21n = 21 Divide each side by '-21'. n = -1 Simplifying n = -1
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