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Simplifying 7n + 30 = -3(8 + -5n) + 16 Reorder the terms: 30 + 7n = -3(8 + -5n) + 16 30 + 7n = (8 * -3 + -5n * -3) + 16 30 + 7n = (-24 + 15n) + 16 Reorder the terms: 30 + 7n = -24 + 16 + 15n Combine like terms: -24 + 16 = -8 30 + 7n = -8 + 15n Solving 30 + 7n = -8 + 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 = -8 + 15n + -15n Combine like terms: 7n + -15n = -8n 30 + -8n = -8 + 15n + -15n Combine like terms: 15n + -15n = 0 30 + -8n = -8 + 0 30 + -8n = -8 Add '-30' to each side of the equation. 30 + -30 + -8n = -8 + -30 Combine like terms: 30 + -30 = 0 0 + -8n = -8 + -30 -8n = -8 + -30 Combine like terms: -8 + -30 = -38 -8n = -38 Divide each side by '-8'. n = 4.75 Simplifying n = 4.75
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