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Simplifying 7(3 + -3n) + 7(8n + -4) = -42 (3 * 7 + -3n * 7) + 7(8n + -4) = -42 (21 + -21n) + 7(8n + -4) = -42 Reorder the terms: 21 + -21n + 7(-4 + 8n) = -42 21 + -21n + (-4 * 7 + 8n * 7) = -42 21 + -21n + (-28 + 56n) = -42 Reorder the terms: 21 + -28 + -21n + 56n = -42 Combine like terms: 21 + -28 = -7 -7 + -21n + 56n = -42 Combine like terms: -21n + 56n = 35n -7 + 35n = -42 Solving -7 + 35n = -42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 35n = -42 + 7 Combine like terms: -7 + 7 = 0 0 + 35n = -42 + 7 35n = -42 + 7 Combine like terms: -42 + 7 = -35 35n = -35 Divide each side by '35'. n = -1 Simplifying n = -1
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