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Simplifying -7 + 4(2n + -1) = 2n + 37 Reorder the terms: -7 + 4(-1 + 2n) = 2n + 37 -7 + (-1 * 4 + 2n * 4) = 2n + 37 -7 + (-4 + 8n) = 2n + 37 Combine like terms: -7 + -4 = -11 -11 + 8n = 2n + 37 Reorder the terms: -11 + 8n = 37 + 2n Solving -11 + 8n = 37 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -11 + 8n + -2n = 37 + 2n + -2n Combine like terms: 8n + -2n = 6n -11 + 6n = 37 + 2n + -2n Combine like terms: 2n + -2n = 0 -11 + 6n = 37 + 0 -11 + 6n = 37 Add '11' to each side of the equation. -11 + 11 + 6n = 37 + 11 Combine like terms: -11 + 11 = 0 0 + 6n = 37 + 11 6n = 37 + 11 Combine like terms: 37 + 11 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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