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Simplifying 3(5n + -4) = n + 2 Reorder the terms: 3(-4 + 5n) = n + 2 (-4 * 3 + 5n * 3) = n + 2 (-12 + 15n) = n + 2 Reorder the terms: -12 + 15n = 2 + n Solving -12 + 15n = 2 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -12 + 15n + -1n = 2 + n + -1n Combine like terms: 15n + -1n = 14n -12 + 14n = 2 + n + -1n Combine like terms: n + -1n = 0 -12 + 14n = 2 + 0 -12 + 14n = 2 Add '12' to each side of the equation. -12 + 12 + 14n = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 14n = 2 + 12 14n = 2 + 12 Combine like terms: 2 + 12 = 14 14n = 14 Divide each side by '14'. n = 1 Simplifying n = 1
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