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Simplifying -57 = 3 + -2(5n + 5) Reorder the terms: -57 = 3 + -2(5 + 5n) -57 = 3 + (5 * -2 + 5n * -2) -57 = 3 + (-10 + -10n) Combine like terms: 3 + -10 = -7 -57 = -7 + -10n Solving -57 = -7 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -57 + 10n = -7 + -10n + 10n Combine like terms: -10n + 10n = 0 -57 + 10n = -7 + 0 -57 + 10n = -7 Add '57' to each side of the equation. -57 + 57 + 10n = -7 + 57 Combine like terms: -57 + 57 = 0 0 + 10n = -7 + 57 10n = -7 + 57 Combine like terms: -7 + 57 = 50 10n = 50 Divide each side by '10'. n = 5 Simplifying n = 5
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