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Simplifying 4(1 + -7n) = -31 + 7n (1 * 4 + -7n * 4) = -31 + 7n (4 + -28n) = -31 + 7n Solving 4 + -28n = -31 + 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. 4 + -28n + -7n = -31 + 7n + -7n Combine like terms: -28n + -7n = -35n 4 + -35n = -31 + 7n + -7n Combine like terms: 7n + -7n = 0 4 + -35n = -31 + 0 4 + -35n = -31 Add '-4' to each side of the equation. 4 + -4 + -35n = -31 + -4 Combine like terms: 4 + -4 = 0 0 + -35n = -31 + -4 -35n = -31 + -4 Combine like terms: -31 + -4 = -35 -35n = -35 Divide each side by '-35'. n = 1 Simplifying n = 1
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