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Simplifying 0.3(n + -5) = 0.4 + -0.2(n + -7) Reorder the terms: 0.3(-5 + n) = 0.4 + -0.2(n + -7) (-5 * 0.3 + n * 0.3) = 0.4 + -0.2(n + -7) (-1.5 + 0.3n) = 0.4 + -0.2(n + -7) Reorder the terms: -1.5 + 0.3n = 0.4 + -0.2(-7 + n) -1.5 + 0.3n = 0.4 + (-7 * -0.2 + n * -0.2) -1.5 + 0.3n = 0.4 + (1.4 + -0.2n) Combine like terms: 0.4 + 1.4 = 1.8 -1.5 + 0.3n = 1.8 + -0.2n Solving -1.5 + 0.3n = 1.8 + -0.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.2n' to each side of the equation. -1.5 + 0.3n + 0.2n = 1.8 + -0.2n + 0.2n Combine like terms: 0.3n + 0.2n = 0.5n -1.5 + 0.5n = 1.8 + -0.2n + 0.2n Combine like terms: -0.2n + 0.2n = 0.0 -1.5 + 0.5n = 1.8 + 0.0 -1.5 + 0.5n = 1.8 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.5n = 1.8 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.5n = 1.8 + 1.5 0.5n = 1.8 + 1.5 Combine like terms: 1.8 + 1.5 = 3.3 0.5n = 3.3 Divide each side by '0.5'. n = 6.6 Simplifying n = 6.6
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