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Simplifying 7(4n + 4) = 2(7n + -5) + 15n Reorder the terms: 7(4 + 4n) = 2(7n + -5) + 15n (4 * 7 + 4n * 7) = 2(7n + -5) + 15n (28 + 28n) = 2(7n + -5) + 15n Reorder the terms: 28 + 28n = 2(-5 + 7n) + 15n 28 + 28n = (-5 * 2 + 7n * 2) + 15n 28 + 28n = (-10 + 14n) + 15n Combine like terms: 14n + 15n = 29n 28 + 28n = -10 + 29n Solving 28 + 28n = -10 + 29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-29n' to each side of the equation. 28 + 28n + -29n = -10 + 29n + -29n Combine like terms: 28n + -29n = -1n 28 + -1n = -10 + 29n + -29n Combine like terms: 29n + -29n = 0 28 + -1n = -10 + 0 28 + -1n = -10 Add '-28' to each side of the equation. 28 + -28 + -1n = -10 + -28 Combine like terms: 28 + -28 = 0 0 + -1n = -10 + -28 -1n = -10 + -28 Combine like terms: -10 + -28 = -38 -1n = -38 Divide each side by '-1'. n = 38 Simplifying n = 38
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