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Simplifying 45n + -4(12n + -3) = 9 + -3(n + -1) Reorder the terms: 45n + -4(-3 + 12n) = 9 + -3(n + -1) 45n + (-3 * -4 + 12n * -4) = 9 + -3(n + -1) 45n + (12 + -48n) = 9 + -3(n + -1) Reorder the terms: 12 + 45n + -48n = 9 + -3(n + -1) Combine like terms: 45n + -48n = -3n 12 + -3n = 9 + -3(n + -1) Reorder the terms: 12 + -3n = 9 + -3(-1 + n) 12 + -3n = 9 + (-1 * -3 + n * -3) 12 + -3n = 9 + (3 + -3n) Combine like terms: 9 + 3 = 12 12 + -3n = 12 + -3n Add '-12' to each side of the equation. 12 + -12 + -3n = 12 + -12 + -3n Combine like terms: 12 + -12 = 0 0 + -3n = 12 + -12 + -3n -3n = 12 + -12 + -3n Combine like terms: 12 + -12 = 0 -3n = 0 + -3n -3n = -3n Add '3n' to each side of the equation. -3n + 3n = -3n + 3n Combine like terms: -3n + 3n = 0 0 = -3n + 3n Combine like terms: -3n + 3n = 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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