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Simplifying 2n + -32 = 8(n + -7) Reorder the terms: -32 + 2n = 8(n + -7) Reorder the terms: -32 + 2n = 8(-7 + n) -32 + 2n = (-7 * 8 + n * 8) -32 + 2n = (-56 + 8n) Solving -32 + 2n = -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. -32 + 2n + -8n = -56 + 8n + -8n Combine like terms: 2n + -8n = -6n -32 + -6n = -56 + 8n + -8n Combine like terms: 8n + -8n = 0 -32 + -6n = -56 + 0 -32 + -6n = -56 Add '32' to each side of the equation. -32 + 32 + -6n = -56 + 32 Combine like terms: -32 + 32 = 0 0 + -6n = -56 + 32 -6n = -56 + 32 Combine like terms: -56 + 32 = -24 -6n = -24 Divide each side by '-6'. n = 4 Simplifying n = 4
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