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Simplifying 4 * 7n + 1 = 5 * 4(7n + 1) Multiply 4 * 7 28n + 1 = 5 * 4(7n + 1) Reorder the terms: 1 + 28n = 5 * 4(7n + 1) Reorder the terms: 1 + 28n = 5 * 4(1 + 7n) Multiply 5 * 4 1 + 28n = 20(1 + 7n) 1 + 28n = (1 * 20 + 7n * 20) 1 + 28n = (20 + 140n) Solving 1 + 28n = 20 + 140n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-140n' to each side of the equation. 1 + 28n + -140n = 20 + 140n + -140n Combine like terms: 28n + -140n = -112n 1 + -112n = 20 + 140n + -140n Combine like terms: 140n + -140n = 0 1 + -112n = 20 + 0 1 + -112n = 20 Add '-1' to each side of the equation. 1 + -1 + -112n = 20 + -1 Combine like terms: 1 + -1 = 0 0 + -112n = 20 + -1 -112n = 20 + -1 Combine like terms: 20 + -1 = 19 -112n = 19 Divide each side by '-112'. n = -0.1696428571 Simplifying n = -0.1696428571
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