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Simplifying 4(1 + -7n) + 5(n + -8) = 56 (1 * 4 + -7n * 4) + 5(n + -8) = 56 (4 + -28n) + 5(n + -8) = 56 Reorder the terms: 4 + -28n + 5(-8 + n) = 56 4 + -28n + (-8 * 5 + n * 5) = 56 4 + -28n + (-40 + 5n) = 56 Reorder the terms: 4 + -40 + -28n + 5n = 56 Combine like terms: 4 + -40 = -36 -36 + -28n + 5n = 56 Combine like terms: -28n + 5n = -23n -36 + -23n = 56 Solving -36 + -23n = 56 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -23n = 56 + 36 Combine like terms: -36 + 36 = 0 0 + -23n = 56 + 36 -23n = 56 + 36 Combine like terms: 56 + 36 = 92 -23n = 92 Divide each side by '-23'. n = -4 Simplifying n = -4
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