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Simplifying 5(2n + -3) + 4(-3n + 2) = 0 Reorder the terms: 5(-3 + 2n) + 4(-3n + 2) = 0 (-3 * 5 + 2n * 5) + 4(-3n + 2) = 0 (-15 + 10n) + 4(-3n + 2) = 0 Reorder the terms: -15 + 10n + 4(2 + -3n) = 0 -15 + 10n + (2 * 4 + -3n * 4) = 0 -15 + 10n + (8 + -12n) = 0 Reorder the terms: -15 + 8 + 10n + -12n = 0 Combine like terms: -15 + 8 = -7 -7 + 10n + -12n = 0 Combine like terms: 10n + -12n = -2n -7 + -2n = 0 Solving -7 + -2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2n = 0 + 7 -2n = 0 + 7 Combine like terms: 0 + 7 = 7 -2n = 7 Divide each side by '-2'. n = -3.5 Simplifying n = -3.5
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