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Simplifying 0.5(6n + 8) = 4n + -1(n + -4) Reorder the terms: 0.5(8 + 6n) = 4n + -1(n + -4) (8 * 0.5 + 6n * 0.5) = 4n + -1(n + -4) (4 + 3n) = 4n + -1(n + -4) Reorder the terms: 4 + 3n = 4n + -1(-4 + n) 4 + 3n = 4n + (-4 * -1 + n * -1) 4 + 3n = 4n + (4 + -1n) Reorder the terms: 4 + 3n = 4 + 4n + -1n Combine like terms: 4n + -1n = 3n 4 + 3n = 4 + 3n Add '-4' to each side of the equation. 4 + -4 + 3n = 4 + -4 + 3n Combine like terms: 4 + -4 = 0 0 + 3n = 4 + -4 + 3n 3n = 4 + -4 + 3n Combine like terms: 4 + -4 = 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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