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Simplifying (3a + -5b) * 4c = 4c(3a + -5b) Reorder the terms for easier multiplication: 4c(3a + -5b) = 4c(3a + -5b) (3a * 4c + -5b * 4c) = 4c(3a + -5b) (12ac + -20bc) = 4c(3a + -5b) 12ac + -20bc = (3a * 4c + -5b * 4c) 12ac + -20bc = (12ac + -20bc) Add '-12ac' to each side of the equation. 12ac + -12ac + -20bc = 12ac + -12ac + -20bc Combine like terms: 12ac + -12ac = 0 0 + -20bc = 12ac + -12ac + -20bc -20bc = 12ac + -12ac + -20bc Combine like terms: 12ac + -12ac = 0 -20bc = 0 + -20bc -20bc = -20bc Add '20bc' to each side of the equation. -20bc + 20bc = -20bc + 20bc Combine like terms: -20bc + 20bc = 0 0 = -20bc + 20bc Combine like terms: -20bc + 20bc = 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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