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Simplifying -4(n + -5) + 3n = 10 + 3n Reorder the terms: -4(-5 + n) + 3n = 10 + 3n (-5 * -4 + n * -4) + 3n = 10 + 3n (20 + -4n) + 3n = 10 + 3n Combine like terms: -4n + 3n = -1n 20 + -1n = 10 + 3n Solving 20 + -1n = 10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 20 + -1n + -3n = 10 + 3n + -3n Combine like terms: -1n + -3n = -4n 20 + -4n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 20 + -4n = 10 + 0 20 + -4n = 10 Add '-20' to each side of the equation. 20 + -20 + -4n = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -4n = 10 + -20 -4n = 10 + -20 Combine like terms: 10 + -20 = -10 -4n = -10 Divide each side by '-4'. n = 2.5 Simplifying n = 2.5
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