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Simplifying -57 = 6(n + -5) + -3(2 + 3x) Reorder the terms: -57 = 6(-5 + n) + -3(2 + 3x) -57 = (-5 * 6 + n * 6) + -3(2 + 3x) -57 = (-30 + 6n) + -3(2 + 3x) -57 = -30 + 6n + (2 * -3 + 3x * -3) -57 = -30 + 6n + (-6 + -9x) Reorder the terms: -57 = -30 + -6 + 6n + -9x Combine like terms: -30 + -6 = -36 -57 = -36 + 6n + -9x Solving -57 = -36 + 6n + -9x 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. -57 + -6n = -36 + 6n + -6n + -9x Combine like terms: 6n + -6n = 0 -57 + -6n = -36 + 0 + -9x -57 + -6n = -36 + -9x Add '57' to each side of the equation. -57 + 57 + -6n = -36 + 57 + -9x Combine like terms: -57 + 57 = 0 0 + -6n = -36 + 57 + -9x -6n = -36 + 57 + -9x Combine like terms: -36 + 57 = 21 -6n = 21 + -9x Divide each side by '-6'. n = -3.5 + 1.5x Simplifying n = -3.5 + 1.5x
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