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Simplifying 7(-5 + -7n) + -5 = -3n + -40 (-5 * 7 + -7n * 7) + -5 = -3n + -40 (-35 + -49n) + -5 = -3n + -40 Reorder the terms: -35 + -5 + -49n = -3n + -40 Combine like terms: -35 + -5 = -40 -40 + -49n = -3n + -40 Reorder the terms: -40 + -49n = -40 + -3n Add '40' to each side of the equation. -40 + 40 + -49n = -40 + 40 + -3n Combine like terms: -40 + 40 = 0 0 + -49n = -40 + 40 + -3n -49n = -40 + 40 + -3n Combine like terms: -40 + 40 = 0 -49n = 0 + -3n -49n = -3n Solving -49n = -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -49n + 3n = -3n + 3n Combine like terms: -49n + 3n = -46n -46n = -3n + 3n Combine like terms: -3n + 3n = 0 -46n = 0 Divide each side by '-46'. n = 0 Simplifying n = 0
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