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Simplifying -147 = -7(1 + 5n) -147 = (1 * -7 + 5n * -7) -147 = (-7 + -35n) Solving -147 = -7 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. -147 + 35n = -7 + -35n + 35n Combine like terms: -35n + 35n = 0 -147 + 35n = -7 + 0 -147 + 35n = -7 Add '147' to each side of the equation. -147 + 147 + 35n = -7 + 147 Combine like terms: -147 + 147 = 0 0 + 35n = -7 + 147 35n = -7 + 147 Combine like terms: -7 + 147 = 140 35n = 140 Divide each side by '35'. n = 4 Simplifying n = 4
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