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Simplifying n + -5(2n + 3) = 7 + -1n + 7 Reorder the terms: n + -5(3 + 2n) = 7 + -1n + 7 n + (3 * -5 + 2n * -5) = 7 + -1n + 7 n + (-15 + -10n) = 7 + -1n + 7 Reorder the terms: -15 + n + -10n = 7 + -1n + 7 Combine like terms: n + -10n = -9n -15 + -9n = 7 + -1n + 7 Reorder the terms: -15 + -9n = 7 + 7 + -1n Combine like terms: 7 + 7 = 14 -15 + -9n = 14 + -1n Solving -15 + -9n = 14 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -15 + -9n + n = 14 + -1n + n Combine like terms: -9n + n = -8n -15 + -8n = 14 + -1n + n Combine like terms: -1n + n = 0 -15 + -8n = 14 + 0 -15 + -8n = 14 Add '15' to each side of the equation. -15 + 15 + -8n = 14 + 15 Combine like terms: -15 + 15 = 0 0 + -8n = 14 + 15 -8n = 14 + 15 Combine like terms: 14 + 15 = 29 -8n = 29 Divide each side by '-8'. n = -3.625 Simplifying n = -3.625
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