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Simplifying -10n + -4(3 + 7n) = 6(-4n + 5) -10n + (3 * -4 + 7n * -4) = 6(-4n + 5) -10n + (-12 + -28n) = 6(-4n + 5) Reorder the terms: -12 + -10n + -28n = 6(-4n + 5) Combine like terms: -10n + -28n = -38n -12 + -38n = 6(-4n + 5) Reorder the terms: -12 + -38n = 6(5 + -4n) -12 + -38n = (5 * 6 + -4n * 6) -12 + -38n = (30 + -24n) Solving -12 + -38n = 30 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -12 + -38n + 24n = 30 + -24n + 24n Combine like terms: -38n + 24n = -14n -12 + -14n = 30 + -24n + 24n Combine like terms: -24n + 24n = 0 -12 + -14n = 30 + 0 -12 + -14n = 30 Add '12' to each side of the equation. -12 + 12 + -14n = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -14n = 30 + 12 -14n = 30 + 12 Combine like terms: 30 + 12 = 42 -14n = 42 Divide each side by '-14'. n = -3 Simplifying n = -3
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