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Simplifying -7n + 32 = -6 + -4(1 + 7n) Reorder the terms: 32 + -7n = -6 + -4(1 + 7n) 32 + -7n = -6 + (1 * -4 + 7n * -4) 32 + -7n = -6 + (-4 + -28n) Combine like terms: -6 + -4 = -10 32 + -7n = -10 + -28n Solving 32 + -7n = -10 + -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. 32 + -7n + 28n = -10 + -28n + 28n Combine like terms: -7n + 28n = 21n 32 + 21n = -10 + -28n + 28n Combine like terms: -28n + 28n = 0 32 + 21n = -10 + 0 32 + 21n = -10 Add '-32' to each side of the equation. 32 + -32 + 21n = -10 + -32 Combine like terms: 32 + -32 = 0 0 + 21n = -10 + -32 21n = -10 + -32 Combine like terms: -10 + -32 = -42 21n = -42 Divide each side by '21'. n = -2 Simplifying n = -2
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