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Simplifying -4(4n + 2) + 3n = -47 Reorder the terms: -4(2 + 4n) + 3n = -47 (2 * -4 + 4n * -4) + 3n = -47 (-8 + -16n) + 3n = -47 Combine like terms: -16n + 3n = -13n -8 + -13n = -47 Solving -8 + -13n = -47 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -13n = -47 + 8 Combine like terms: -8 + 8 = 0 0 + -13n = -47 + 8 -13n = -47 + 8 Combine like terms: -47 + 8 = -39 -13n = -39 Divide each side by '-13'. n = 3 Simplifying n = 3
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