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Simplifying 7n + 30 = -3(8 + -5n) + 6 Reorder the terms: 30 + 7n = -3(8 + -5n) + 6 30 + 7n = (8 * -3 + -5n * -3) + 6 30 + 7n = (-24 + 15n) + 6 Reorder the terms: 30 + 7n = -24 + 6 + 15n Combine like terms: -24 + 6 = -18 30 + 7n = -18 + 15n Solving 30 + 7n = -18 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 30 + 7n + -15n = -18 + 15n + -15n Combine like terms: 7n + -15n = -8n 30 + -8n = -18 + 15n + -15n Combine like terms: 15n + -15n = 0 30 + -8n = -18 + 0 30 + -8n = -18 Add '-30' to each side of the equation. 30 + -30 + -8n = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -8n = -18 + -30 -8n = -18 + -30 Combine like terms: -18 + -30 = -48 -8n = -48 Divide each side by '-8'. n = 6 Simplifying n = 6
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