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Simplifying 3n + 6 = 4(n + 4) + 10 Reorder the terms: 6 + 3n = 4(n + 4) + 10 Reorder the terms: 6 + 3n = 4(4 + n) + 10 6 + 3n = (4 * 4 + n * 4) + 10 6 + 3n = (16 + 4n) + 10 Reorder the terms: 6 + 3n = 16 + 10 + 4n Combine like terms: 16 + 10 = 26 6 + 3n = 26 + 4n Solving 6 + 3n = 26 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 6 + 3n + -4n = 26 + 4n + -4n Combine like terms: 3n + -4n = -1n 6 + -1n = 26 + 4n + -4n Combine like terms: 4n + -4n = 0 6 + -1n = 26 + 0 6 + -1n = 26 Add '-6' to each side of the equation. 6 + -6 + -1n = 26 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = 26 + -6 -1n = 26 + -6 Combine like terms: 26 + -6 = 20 -1n = 20 Divide each side by '-1'. n = -20 Simplifying n = -20
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