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Simplifying 5(2n + -3) = 2(-3n + -2) + 5 Reorder the terms: 5(-3 + 2n) = 2(-3n + -2) + 5 (-3 * 5 + 2n * 5) = 2(-3n + -2) + 5 (-15 + 10n) = 2(-3n + -2) + 5 Reorder the terms: -15 + 10n = 2(-2 + -3n) + 5 -15 + 10n = (-2 * 2 + -3n * 2) + 5 -15 + 10n = (-4 + -6n) + 5 Reorder the terms: -15 + 10n = -4 + 5 + -6n Combine like terms: -4 + 5 = 1 -15 + 10n = 1 + -6n Solving -15 + 10n = 1 + -6n 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. -15 + 10n + 6n = 1 + -6n + 6n Combine like terms: 10n + 6n = 16n -15 + 16n = 1 + -6n + 6n Combine like terms: -6n + 6n = 0 -15 + 16n = 1 + 0 -15 + 16n = 1 Add '15' to each side of the equation. -15 + 15 + 16n = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 16n = 1 + 15 16n = 1 + 15 Combine like terms: 1 + 15 = 16 16n = 16 Divide each side by '16'. n = 1 Simplifying n = 1
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