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Simplifying 3(3n + -5) = 7(8n + -4) + -3 Reorder the terms: 3(-5 + 3n) = 7(8n + -4) + -3 (-5 * 3 + 3n * 3) = 7(8n + -4) + -3 (-15 + 9n) = 7(8n + -4) + -3 Reorder the terms: -15 + 9n = 7(-4 + 8n) + -3 -15 + 9n = (-4 * 7 + 8n * 7) + -3 -15 + 9n = (-28 + 56n) + -3 Reorder the terms: -15 + 9n = -28 + -3 + 56n Combine like terms: -28 + -3 = -31 -15 + 9n = -31 + 56n Solving -15 + 9n = -31 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. -15 + 9n + -56n = -31 + 56n + -56n Combine like terms: 9n + -56n = -47n -15 + -47n = -31 + 56n + -56n Combine like terms: 56n + -56n = 0 -15 + -47n = -31 + 0 -15 + -47n = -31 Add '15' to each side of the equation. -15 + 15 + -47n = -31 + 15 Combine like terms: -15 + 15 = 0 0 + -47n = -31 + 15 -47n = -31 + 15 Combine like terms: -31 + 15 = -16 -47n = -16 Divide each side by '-47'. n = 0.3404255319 Simplifying n = 0.3404255319
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