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Simplifying -38 + -8n = -8(n + 6) + 2n Reorder the terms: -38 + -8n = -8(6 + n) + 2n -38 + -8n = (6 * -8 + n * -8) + 2n -38 + -8n = (-48 + -8n) + 2n Combine like terms: -8n + 2n = -6n -38 + -8n = -48 + -6n Solving -38 + -8n = -48 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -38 + -8n + 6n = -48 + -6n + 6n Combine like terms: -8n + 6n = -2n -38 + -2n = -48 + -6n + 6n Combine like terms: -6n + 6n = 0 -38 + -2n = -48 + 0 -38 + -2n = -48 Add '38' to each side of the equation. -38 + 38 + -2n = -48 + 38 Combine like terms: -38 + 38 = 0 0 + -2n = -48 + 38 -2n = -48 + 38 Combine like terms: -48 + 38 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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