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Simplifying 2(2n + -4) = 5(n + -3) Reorder the terms: 2(-4 + 2n) = 5(n + -3) (-4 * 2 + 2n * 2) = 5(n + -3) (-8 + 4n) = 5(n + -3) Reorder the terms: -8 + 4n = 5(-3 + n) -8 + 4n = (-3 * 5 + n * 5) -8 + 4n = (-15 + 5n) Solving -8 + 4n = -15 + 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. -8 + 4n + -5n = -15 + 5n + -5n Combine like terms: 4n + -5n = -1n -8 + -1n = -15 + 5n + -5n Combine like terms: 5n + -5n = 0 -8 + -1n = -15 + 0 -8 + -1n = -15 Add '8' to each side of the equation. -8 + 8 + -1n = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -1n = -15 + 8 -1n = -15 + 8 Combine like terms: -15 + 8 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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