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Simplifying 2(8n + -6) + 5 = -24 + -1n Reorder the terms: 2(-6 + 8n) + 5 = -24 + -1n (-6 * 2 + 8n * 2) + 5 = -24 + -1n (-12 + 16n) + 5 = -24 + -1n Reorder the terms: -12 + 5 + 16n = -24 + -1n Combine like terms: -12 + 5 = -7 -7 + 16n = -24 + -1n Solving -7 + 16n = -24 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -7 + 16n + n = -24 + -1n + n Combine like terms: 16n + n = 17n -7 + 17n = -24 + -1n + n Combine like terms: -1n + n = 0 -7 + 17n = -24 + 0 -7 + 17n = -24 Add '7' to each side of the equation. -7 + 7 + 17n = -24 + 7 Combine like terms: -7 + 7 = 0 0 + 17n = -24 + 7 17n = -24 + 7 Combine like terms: -24 + 7 = -17 17n = -17 Divide each side by '17'. n = -1 Simplifying n = -1
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