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Simplifying -5(2n + 2) = 5n + -40 Reorder the terms: -5(2 + 2n) = 5n + -40 (2 * -5 + 2n * -5) = 5n + -40 (-10 + -10n) = 5n + -40 Reorder the terms: -10 + -10n = -40 + 5n Solving -10 + -10n = -40 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -10 + -10n + -5n = -40 + 5n + -5n Combine like terms: -10n + -5n = -15n -10 + -15n = -40 + 5n + -5n Combine like terms: 5n + -5n = 0 -10 + -15n = -40 + 0 -10 + -15n = -40 Add '10' to each side of the equation. -10 + 10 + -15n = -40 + 10 Combine like terms: -10 + 10 = 0 0 + -15n = -40 + 10 -15n = -40 + 10 Combine like terms: -40 + 10 = -30 -15n = -30 Divide each side by '-15'. n = 2 Simplifying n = 2
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