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Simplifying -4(2n + 8) = -37 + -7n Reorder the terms: -4(8 + 2n) = -37 + -7n (8 * -4 + 2n * -4) = -37 + -7n (-32 + -8n) = -37 + -7n Solving -32 + -8n = -37 + -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. -32 + -8n + 7n = -37 + -7n + 7n Combine like terms: -8n + 7n = -1n -32 + -1n = -37 + -7n + 7n Combine like terms: -7n + 7n = 0 -32 + -1n = -37 + 0 -32 + -1n = -37 Add '32' to each side of the equation. -32 + 32 + -1n = -37 + 32 Combine like terms: -32 + 32 = 0 0 + -1n = -37 + 32 -1n = -37 + 32 Combine like terms: -37 + 32 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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