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Simplifying 4(10 + -9n) = 4n + -8(5n + -5) (10 * 4 + -9n * 4) = 4n + -8(5n + -5) (40 + -36n) = 4n + -8(5n + -5) Reorder the terms: 40 + -36n = 4n + -8(-5 + 5n) 40 + -36n = 4n + (-5 * -8 + 5n * -8) 40 + -36n = 4n + (40 + -40n) Reorder the terms: 40 + -36n = 40 + 4n + -40n Combine like terms: 4n + -40n = -36n 40 + -36n = 40 + -36n Add '-40' to each side of the equation. 40 + -40 + -36n = 40 + -40 + -36n Combine like terms: 40 + -40 = 0 0 + -36n = 40 + -40 + -36n -36n = 40 + -40 + -36n Combine like terms: 40 + -40 = 0 -36n = 0 + -36n -36n = -36n Add '36n' to each side of the equation. -36n + 36n = -36n + 36n Combine like terms: -36n + 36n = 0 0 = -36n + 36n Combine like terms: -36n + 36n = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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