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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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