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Simplifying -200 = -4(7n + 1) Reorder the terms: -200 = -4(1 + 7n) -200 = (1 * -4 + 7n * -4) -200 = (-4 + -28n) Solving -200 = -4 + -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. -200 + 28n = -4 + -28n + 28n Combine like terms: -28n + 28n = 0 -200 + 28n = -4 + 0 -200 + 28n = -4 Add '200' to each side of the equation. -200 + 200 + 28n = -4 + 200 Combine like terms: -200 + 200 = 0 0 + 28n = -4 + 200 28n = -4 + 200 Combine like terms: -4 + 200 = 196 28n = 196 Divide each side by '28'. n = 7 Simplifying n = 7
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