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Simplifying 7n + -19 = -8(n + -7) Reorder the terms: -19 + 7n = -8(n + -7) Reorder the terms: -19 + 7n = -8(-7 + n) -19 + 7n = (-7 * -8 + n * -8) -19 + 7n = (56 + -8n) Solving -19 + 7n = 56 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -19 + 7n + 8n = 56 + -8n + 8n Combine like terms: 7n + 8n = 15n -19 + 15n = 56 + -8n + 8n Combine like terms: -8n + 8n = 0 -19 + 15n = 56 + 0 -19 + 15n = 56 Add '19' to each side of the equation. -19 + 19 + 15n = 56 + 19 Combine like terms: -19 + 19 = 0 0 + 15n = 56 + 19 15n = 56 + 19 Combine like terms: 56 + 19 = 75 15n = 75 Divide each side by '15'. n = 5 Simplifying n = 5
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