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Simplifying 7(n + -3) = 10n Reorder the terms: 7(-3 + n) = 10n (-3 * 7 + n * 7) = 10n (-21 + 7n) = 10n Solving -21 + 7n = 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. -21 + 7n + -10n = 10n + -10n Combine like terms: 7n + -10n = -3n -21 + -3n = 10n + -10n Combine like terms: 10n + -10n = 0 -21 + -3n = 0 Add '21' to each side of the equation. -21 + 21 + -3n = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -3n = 0 + 21 -3n = 0 + 21 Combine like terms: 0 + 21 = 21 -3n = 21 Divide each side by '-3'. n = -7 Simplifying n = -7
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