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Simplifying -4(2n + 4) + 7(n + -6) = -50 Reorder the terms: -4(4 + 2n) + 7(n + -6) = -50 (4 * -4 + 2n * -4) + 7(n + -6) = -50 (-16 + -8n) + 7(n + -6) = -50 Reorder the terms: -16 + -8n + 7(-6 + n) = -50 -16 + -8n + (-6 * 7 + n * 7) = -50 -16 + -8n + (-42 + 7n) = -50 Reorder the terms: -16 + -42 + -8n + 7n = -50 Combine like terms: -16 + -42 = -58 -58 + -8n + 7n = -50 Combine like terms: -8n + 7n = -1n -58 + -1n = -50 Solving -58 + -1n = -50 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + -1n = -50 + 58 Combine like terms: -58 + 58 = 0 0 + -1n = -50 + 58 -1n = -50 + 58 Combine like terms: -50 + 58 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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