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Simplifying 3(-6n + -5) + -6(1 + 4n) = -21 Reorder the terms: 3(-5 + -6n) + -6(1 + 4n) = -21 (-5 * 3 + -6n * 3) + -6(1 + 4n) = -21 (-15 + -18n) + -6(1 + 4n) = -21 -15 + -18n + (1 * -6 + 4n * -6) = -21 -15 + -18n + (-6 + -24n) = -21 Reorder the terms: -15 + -6 + -18n + -24n = -21 Combine like terms: -15 + -6 = -21 -21 + -18n + -24n = -21 Combine like terms: -18n + -24n = -42n -21 + -42n = -21 Add '21' to each side of the equation. -21 + 21 + -42n = -21 + 21 Combine like terms: -21 + 21 = 0 0 + -42n = -21 + 21 -42n = -21 + 21 Combine like terms: -21 + 21 = 0 -42n = 0 Solving -42n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-42'. n = 0 Simplifying n = 0
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