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Simplifying 4n + 10 = 7(n + 1) Reorder the terms: 10 + 4n = 7(n + 1) Reorder the terms: 10 + 4n = 7(1 + n) 10 + 4n = (1 * 7 + n * 7) 10 + 4n = (7 + 7n) Solving 10 + 4n = 7 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 10 + 4n + -7n = 7 + 7n + -7n Combine like terms: 4n + -7n = -3n 10 + -3n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 10 + -3n = 7 + 0 10 + -3n = 7 Add '-10' to each side of the equation. 10 + -10 + -3n = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -3n = 7 + -10 -3n = 7 + -10 Combine like terms: 7 + -10 = -3 -3n = -3 Divide each side by '-3'. n = 1 Simplifying n = 1
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