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Simplifying 4 + 3n = -7(4n + -5) Reorder the terms: 4 + 3n = -7(-5 + 4n) 4 + 3n = (-5 * -7 + 4n * -7) 4 + 3n = (35 + -28n) Solving 4 + 3n = 35 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 4 + 3n + 28n = 35 + -28n + 28n Combine like terms: 3n + 28n = 31n 4 + 31n = 35 + -28n + 28n Combine like terms: -28n + 28n = 0 4 + 31n = 35 + 0 4 + 31n = 35 Add '-4' to each side of the equation. 4 + -4 + 31n = 35 + -4 Combine like terms: 4 + -4 = 0 0 + 31n = 35 + -4 31n = 35 + -4 Combine like terms: 35 + -4 = 31 31n = 31 Divide each side by '31'. n = 1 Simplifying n = 1
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