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Simplifying 10n + -56 = 6(n + 12) Reorder the terms: -56 + 10n = 6(n + 12) Reorder the terms: -56 + 10n = 6(12 + n) -56 + 10n = (12 * 6 + n * 6) -56 + 10n = (72 + 6n) Solving -56 + 10n = 72 + 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. -56 + 10n + -6n = 72 + 6n + -6n Combine like terms: 10n + -6n = 4n -56 + 4n = 72 + 6n + -6n Combine like terms: 6n + -6n = 0 -56 + 4n = 72 + 0 -56 + 4n = 72 Add '56' to each side of the equation. -56 + 56 + 4n = 72 + 56 Combine like terms: -56 + 56 = 0 0 + 4n = 72 + 56 4n = 72 + 56 Combine like terms: 72 + 56 = 128 4n = 128 Divide each side by '4'. n = 32 Simplifying n = 32
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