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Simplifying -5n + -2 = -7(7n + -6) Reorder the terms: -2 + -5n = -7(7n + -6) Reorder the terms: -2 + -5n = -7(-6 + 7n) -2 + -5n = (-6 * -7 + 7n * -7) -2 + -5n = (42 + -49n) Solving -2 + -5n = 42 + -49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '49n' to each side of the equation. -2 + -5n + 49n = 42 + -49n + 49n Combine like terms: -5n + 49n = 44n -2 + 44n = 42 + -49n + 49n Combine like terms: -49n + 49n = 0 -2 + 44n = 42 + 0 -2 + 44n = 42 Add '2' to each side of the equation. -2 + 2 + 44n = 42 + 2 Combine like terms: -2 + 2 = 0 0 + 44n = 42 + 2 44n = 42 + 2 Combine like terms: 42 + 2 = 44 44n = 44 Divide each side by '44'. n = 1 Simplifying n = 1
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