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Simplifying 10n + 7 = n + -3(5 + -3n) Reorder the terms: 7 + 10n = n + -3(5 + -3n) 7 + 10n = n + (5 * -3 + -3n * -3) 7 + 10n = n + (-15 + 9n) Reorder the terms: 7 + 10n = -15 + n + 9n Combine like terms: n + 9n = 10n 7 + 10n = -15 + 10n Add '-10n' to each side of the equation. 7 + 10n + -10n = -15 + 10n + -10n Combine like terms: 10n + -10n = 0 7 + 0 = -15 + 10n + -10n 7 = -15 + 10n + -10n Combine like terms: 10n + -10n = 0 7 = -15 + 0 7 = -15 Solving 7 = -15 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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