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Simplifying -0.5(2n + 4) + 6 = -9 + 4(2n + 1) Reorder the terms: -0.5(4 + 2n) + 6 = -9 + 4(2n + 1) (4 * -0.5 + 2n * -0.5) + 6 = -9 + 4(2n + 1) (-2 + -1n) + 6 = -9 + 4(2n + 1) Reorder the terms: -2 + 6 + -1n = -9 + 4(2n + 1) Combine like terms: -2 + 6 = 4 4 + -1n = -9 + 4(2n + 1) Reorder the terms: 4 + -1n = -9 + 4(1 + 2n) 4 + -1n = -9 + (1 * 4 + 2n * 4) 4 + -1n = -9 + (4 + 8n) Combine like terms: -9 + 4 = -5 4 + -1n = -5 + 8n Solving 4 + -1n = -5 + 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. 4 + -1n + -8n = -5 + 8n + -8n Combine like terms: -1n + -8n = -9n 4 + -9n = -5 + 8n + -8n Combine like terms: 8n + -8n = 0 4 + -9n = -5 + 0 4 + -9n = -5 Add '-4' to each side of the equation. 4 + -4 + -9n = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -9n = -5 + -4 -9n = -5 + -4 Combine like terms: -5 + -4 = -9 -9n = -9 Divide each side by '-9'. n = 1 Simplifying n = 1
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