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Simplifying 0.5(30n + 2) + -1(7 + 3x) = 0 Reorder the terms: 0.5(2 + 30n) + -1(7 + 3x) = 0 (2 * 0.5 + 30n * 0.5) + -1(7 + 3x) = 0 (1 + 15n) + -1(7 + 3x) = 0 1 + 15n + (7 * -1 + 3x * -1) = 0 1 + 15n + (-7 + -3x) = 0 Reorder the terms: 1 + -7 + 15n + -3x = 0 Combine like terms: 1 + -7 = -6 -6 + 15n + -3x = 0 Solving -6 + 15n + -3x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 15n + 6 + -3x = 0 + 6 Reorder the terms: -6 + 6 + 15n + -3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 15n + -3x = 0 + 6 15n + -3x = 0 + 6 Combine like terms: 0 + 6 = 6 15n + -3x = 6 Add '3x' to each side of the equation. 15n + -3x + 3x = 6 + 3x Combine like terms: -3x + 3x = 0 15n + 0 = 6 + 3x 15n = 6 + 3x Divide each side by '15'. n = 0.4 + 0.2x Simplifying n = 0.4 + 0.2x
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