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Simplifying (-3 * 5) + (n * 7) = -3(n + 7) Multiply -3 * 5 (-15) + (n * 7) = -3(n + 7) -15 + (n * 7) = -3(n + 7) Reorder the terms for easier multiplication: -15 + (7n) = -3(n + 7) Reorder the terms: -15 + (7n) = -3(7 + n) -15 + (7n) = (7 * -3 + n * -3) -15 + (7n) = (-21 + -3n) Solving -15 + (7n) = -21 + -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. -15 + (7n) + 3n = -21 + -3n + 3n Combine like terms: (7n) + 3n = 10n -15 + 10n = -21 + -3n + 3n Combine like terms: -3n + 3n = 0 -15 + 10n = -21 + 0 -15 + 10n = -21 Add '15' to each side of the equation. -15 + 15 + 10n = -21 + 15 Combine like terms: -15 + 15 = 0 0 + 10n = -21 + 15 10n = -21 + 15 Combine like terms: -21 + 15 = -6 10n = -6 Divide each side by '10'. n = -0.6 Simplifying n = -0.6
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