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Simplifying 23 + -1(n + -19) = 7(n + 5) Reorder the terms: 23 + -1(-19 + n) = 7(n + 5) 23 + (-19 * -1 + n * -1) = 7(n + 5) 23 + (19 + -1n) = 7(n + 5) Combine like terms: 23 + 19 = 42 42 + -1n = 7(n + 5) Reorder the terms: 42 + -1n = 7(5 + n) 42 + -1n = (5 * 7 + n * 7) 42 + -1n = (35 + 7n) Solving 42 + -1n = 35 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 42 + -1n + -7n = 35 + 7n + -7n Combine like terms: -1n + -7n = -8n 42 + -8n = 35 + 7n + -7n Combine like terms: 7n + -7n = 0 42 + -8n = 35 + 0 42 + -8n = 35 Add '-42' to each side of the equation. 42 + -42 + -8n = 35 + -42 Combine like terms: 42 + -42 = 0 0 + -8n = 35 + -42 -8n = 35 + -42 Combine like terms: 35 + -42 = -7 -8n = -7 Divide each side by '-8'. n = 0.875 Simplifying n = 0.875
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