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Simplifying -2(5n + 5) = 3(-5n + -5) Reorder the terms: -2(5 + 5n) = 3(-5n + -5) (5 * -2 + 5n * -2) = 3(-5n + -5) (-10 + -10n) = 3(-5n + -5) Reorder the terms: -10 + -10n = 3(-5 + -5n) -10 + -10n = (-5 * 3 + -5n * 3) -10 + -10n = (-15 + -15n) Solving -10 + -10n = -15 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -10 + -10n + 15n = -15 + -15n + 15n Combine like terms: -10n + 15n = 5n -10 + 5n = -15 + -15n + 15n Combine like terms: -15n + 15n = 0 -10 + 5n = -15 + 0 -10 + 5n = -15 Add '10' to each side of the equation. -10 + 10 + 5n = -15 + 10 Combine like terms: -10 + 10 = 0 0 + 5n = -15 + 10 5n = -15 + 10 Combine like terms: -15 + 10 = -5 5n = -5 Divide each side by '5'. n = -1 Simplifying n = -1
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