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Simplifying 9 + -0.5(2n + -6) = n + 2 Reorder the terms: 9 + -0.5(-6 + 2n) = n + 2 9 + (-6 * -0.5 + 2n * -0.5) = n + 2 9 + (3 + -1n) = n + 2 Combine like terms: 9 + 3 = 12 12 + -1n = n + 2 Reorder the terms: 12 + -1n = 2 + n Solving 12 + -1n = 2 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 12 + -1n + -1n = 2 + n + -1n Combine like terms: -1n + -1n = -2n 12 + -2n = 2 + n + -1n Combine like terms: n + -1n = 0 12 + -2n = 2 + 0 12 + -2n = 2 Add '-12' to each side of the equation. 12 + -12 + -2n = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -2n = 2 + -12 -2n = 2 + -12 Combine like terms: 2 + -12 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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