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Simplifying 3(n + -1) + -3n = n + 4(7n + -8) Reorder the terms: 3(-1 + n) + -3n = n + 4(7n + -8) (-1 * 3 + n * 3) + -3n = n + 4(7n + -8) (-3 + 3n) + -3n = n + 4(7n + -8) Combine like terms: 3n + -3n = 0 -3 + 0 = n + 4(7n + -8) -3 = n + 4(7n + -8) Reorder the terms: -3 = n + 4(-8 + 7n) -3 = n + (-8 * 4 + 7n * 4) -3 = n + (-32 + 28n) Reorder the terms: -3 = -32 + n + 28n Combine like terms: n + 28n = 29n -3 = -32 + 29n Solving -3 = -32 + 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. -3 + -29n = -32 + 29n + -29n Combine like terms: 29n + -29n = 0 -3 + -29n = -32 + 0 -3 + -29n = -32 Add '3' to each side of the equation. -3 + 3 + -29n = -32 + 3 Combine like terms: -3 + 3 = 0 0 + -29n = -32 + 3 -29n = -32 + 3 Combine like terms: -32 + 3 = -29 -29n = -29 Divide each side by '-29'. n = 1 Simplifying n = 1
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