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Simplifying 5(-2 + -3n) + -8 = 30 + -7n (-2 * 5 + -3n * 5) + -8 = 30 + -7n (-10 + -15n) + -8 = 30 + -7n Reorder the terms: -10 + -8 + -15n = 30 + -7n Combine like terms: -10 + -8 = -18 -18 + -15n = 30 + -7n Solving -18 + -15n = 30 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -18 + -15n + 7n = 30 + -7n + 7n Combine like terms: -15n + 7n = -8n -18 + -8n = 30 + -7n + 7n Combine like terms: -7n + 7n = 0 -18 + -8n = 30 + 0 -18 + -8n = 30 Add '18' to each side of the equation. -18 + 18 + -8n = 30 + 18 Combine like terms: -18 + 18 = 0 0 + -8n = 30 + 18 -8n = 30 + 18 Combine like terms: 30 + 18 = 48 -8n = 48 Divide each side by '-8'. n = -6 Simplifying n = -6
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