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Simplifying -30 = -3(5n + -1) + -8(n + 7) Reorder the terms: -30 = -3(-1 + 5n) + -8(n + 7) -30 = (-1 * -3 + 5n * -3) + -8(n + 7) -30 = (3 + -15n) + -8(n + 7) Reorder the terms: -30 = 3 + -15n + -8(7 + n) -30 = 3 + -15n + (7 * -8 + n * -8) -30 = 3 + -15n + (-56 + -8n) Reorder the terms: -30 = 3 + -56 + -15n + -8n Combine like terms: 3 + -56 = -53 -30 = -53 + -15n + -8n Combine like terms: -15n + -8n = -23n -30 = -53 + -23n Solving -30 = -53 + -23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23n' to each side of the equation. -30 + 23n = -53 + -23n + 23n Combine like terms: -23n + 23n = 0 -30 + 23n = -53 + 0 -30 + 23n = -53 Add '30' to each side of the equation. -30 + 30 + 23n = -53 + 30 Combine like terms: -30 + 30 = 0 0 + 23n = -53 + 30 23n = -53 + 30 Combine like terms: -53 + 30 = -23 23n = -23 Divide each side by '23'. n = -1 Simplifying n = -1
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