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Simplifying -7n + 6(n + -5) = -5n + -6(1 + -2n) Reorder the terms: -7n + 6(-5 + n) = -5n + -6(1 + -2n) -7n + (-5 * 6 + n * 6) = -5n + -6(1 + -2n) -7n + (-30 + 6n) = -5n + -6(1 + -2n) Reorder the terms: -30 + -7n + 6n = -5n + -6(1 + -2n) Combine like terms: -7n + 6n = -1n -30 + -1n = -5n + -6(1 + -2n) -30 + -1n = -5n + (1 * -6 + -2n * -6) -30 + -1n = -5n + (-6 + 12n) Reorder the terms: -30 + -1n = -6 + -5n + 12n Combine like terms: -5n + 12n = 7n -30 + -1n = -6 + 7n Solving -30 + -1n = -6 + 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. -30 + -1n + -7n = -6 + 7n + -7n Combine like terms: -1n + -7n = -8n -30 + -8n = -6 + 7n + -7n Combine like terms: 7n + -7n = 0 -30 + -8n = -6 + 0 -30 + -8n = -6 Add '30' to each side of the equation. -30 + 30 + -8n = -6 + 30 Combine like terms: -30 + 30 = 0 0 + -8n = -6 + 30 -8n = -6 + 30 Combine like terms: -6 + 30 = 24 -8n = 24 Divide each side by '-8'. n = -3 Simplifying n = -3
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