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Simplifying 5(2n + -5) + -3 = 2(3n + -4) + -8 Reorder the terms: 5(-5 + 2n) + -3 = 2(3n + -4) + -8 (-5 * 5 + 2n * 5) + -3 = 2(3n + -4) + -8 (-25 + 10n) + -3 = 2(3n + -4) + -8 Reorder the terms: -25 + -3 + 10n = 2(3n + -4) + -8 Combine like terms: -25 + -3 = -28 -28 + 10n = 2(3n + -4) + -8 Reorder the terms: -28 + 10n = 2(-4 + 3n) + -8 -28 + 10n = (-4 * 2 + 3n * 2) + -8 -28 + 10n = (-8 + 6n) + -8 Reorder the terms: -28 + 10n = -8 + -8 + 6n Combine like terms: -8 + -8 = -16 -28 + 10n = -16 + 6n Solving -28 + 10n = -16 + 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. -28 + 10n + -6n = -16 + 6n + -6n Combine like terms: 10n + -6n = 4n -28 + 4n = -16 + 6n + -6n Combine like terms: 6n + -6n = 0 -28 + 4n = -16 + 0 -28 + 4n = -16 Add '28' to each side of the equation. -28 + 28 + 4n = -16 + 28 Combine like terms: -28 + 28 = 0 0 + 4n = -16 + 28 4n = -16 + 28 Combine like terms: -16 + 28 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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