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Simplifying 0.5(12 + -2) = 5n + -7 Combine like terms: 12 + -2 = 10 0.5(10) = 5n + -7 Multiply 0.5 * 10 5 = 5n + -7 Reorder the terms: 5 = -7 + 5n Solving 5 = -7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 5 + -5n = -7 + 5n + -5n Combine like terms: 5n + -5n = 0 5 + -5n = -7 + 0 5 + -5n = -7 Add '-5' to each side of the equation. 5 + -5 + -5n = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -5n = -7 + -5 -5n = -7 + -5 Combine like terms: -7 + -5 = -12 -5n = -12 Divide each side by '-5'. n = 2.4 Simplifying n = 2.4
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