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Simplifying 10n + -45 = 3(n + -15) Reorder the terms: -45 + 10n = 3(n + -15) Reorder the terms: -45 + 10n = 3(-15 + n) -45 + 10n = (-15 * 3 + n * 3) -45 + 10n = (-45 + 3n) Add '45' to each side of the equation. -45 + 45 + 10n = -45 + 45 + 3n Combine like terms: -45 + 45 = 0 0 + 10n = -45 + 45 + 3n 10n = -45 + 45 + 3n Combine like terms: -45 + 45 = 0 10n = 0 + 3n 10n = 3n Solving 10n = 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. 10n + -3n = 3n + -3n Combine like terms: 10n + -3n = 7n 7n = 3n + -3n Combine like terms: 3n + -3n = 0 7n = 0 Divide each side by '7'. n = 0 Simplifying n = 0
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