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Simplifying -10(-2n + 0.3) + 5(-7 + 4n) = -0.3n + -7 Reorder the terms: -10(0.3 + -2n) + 5(-7 + 4n) = -0.3n + -7 (0.3 * -10 + -2n * -10) + 5(-7 + 4n) = -0.3n + -7 (-3 + 20n) + 5(-7 + 4n) = -0.3n + -7 -3 + 20n + (-7 * 5 + 4n * 5) = -0.3n + -7 -3 + 20n + (-35 + 20n) = -0.3n + -7 Reorder the terms: -3 + -35 + 20n + 20n = -0.3n + -7 Combine like terms: -3 + -35 = -38 -38 + 20n + 20n = -0.3n + -7 Combine like terms: 20n + 20n = 40n -38 + 40n = -0.3n + -7 Reorder the terms: -38 + 40n = -7 + -0.3n Solving -38 + 40n = -7 + -0.3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.3n' to each side of the equation. -38 + 40n + 0.3n = -7 + -0.3n + 0.3n Combine like terms: 40n + 0.3n = 40.3n -38 + 40.3n = -7 + -0.3n + 0.3n Combine like terms: -0.3n + 0.3n = 0.0 -38 + 40.3n = -7 + 0.0 -38 + 40.3n = -7 Add '38' to each side of the equation. -38 + 38 + 40.3n = -7 + 38 Combine like terms: -38 + 38 = 0 0 + 40.3n = -7 + 38 40.3n = -7 + 38 Combine like terms: -7 + 38 = 31 40.3n = 31 Divide each side by '40.3'. n = 0.7692307692 Simplifying n = 0.7692307692
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