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Simplifying -72 = 6 + -5(2n + 6) Reorder the terms: -72 = 6 + -5(6 + 2n) -72 = 6 + (6 * -5 + 2n * -5) -72 = 6 + (-30 + -10n) Combine like terms: 6 + -30 = -24 -72 = -24 + -10n Solving -72 = -24 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -72 + 10n = -24 + -10n + 10n Combine like terms: -10n + 10n = 0 -72 + 10n = -24 + 0 -72 + 10n = -24 Add '72' to each side of the equation. -72 + 72 + 10n = -24 + 72 Combine like terms: -72 + 72 = 0 0 + 10n = -24 + 72 10n = -24 + 72 Combine like terms: -24 + 72 = 48 10n = 48 Divide each side by '10'. n = 4.8 Simplifying n = 4.8
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