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Simplifying 12(4n + -2) + -3n = -7 + -8(n + 3) Reorder the terms: 12(-2 + 4n) + -3n = -7 + -8(n + 3) (-2 * 12 + 4n * 12) + -3n = -7 + -8(n + 3) (-24 + 48n) + -3n = -7 + -8(n + 3) Combine like terms: 48n + -3n = 45n -24 + 45n = -7 + -8(n + 3) Reorder the terms: -24 + 45n = -7 + -8(3 + n) -24 + 45n = -7 + (3 * -8 + n * -8) -24 + 45n = -7 + (-24 + -8n) Combine like terms: -7 + -24 = -31 -24 + 45n = -31 + -8n Solving -24 + 45n = -31 + -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. -24 + 45n + 8n = -31 + -8n + 8n Combine like terms: 45n + 8n = 53n -24 + 53n = -31 + -8n + 8n Combine like terms: -8n + 8n = 0 -24 + 53n = -31 + 0 -24 + 53n = -31 Add '24' to each side of the equation. -24 + 24 + 53n = -31 + 24 Combine like terms: -24 + 24 = 0 0 + 53n = -31 + 24 53n = -31 + 24 Combine like terms: -31 + 24 = -7 53n = -7 Divide each side by '53'. n = -0.1320754717 Simplifying n = -0.1320754717
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