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Simplifying 3(5 + -1b) + -39 = 27b + -6(4 + 5b) (5 * 3 + -1b * 3) + -39 = 27b + -6(4 + 5b) (15 + -3b) + -39 = 27b + -6(4 + 5b) Reorder the terms: 15 + -39 + -3b = 27b + -6(4 + 5b) Combine like terms: 15 + -39 = -24 -24 + -3b = 27b + -6(4 + 5b) -24 + -3b = 27b + (4 * -6 + 5b * -6) -24 + -3b = 27b + (-24 + -30b) Reorder the terms: -24 + -3b = -24 + 27b + -30b Combine like terms: 27b + -30b = -3b -24 + -3b = -24 + -3b Add '24' to each side of the equation. -24 + 24 + -3b = -24 + 24 + -3b Combine like terms: -24 + 24 = 0 0 + -3b = -24 + 24 + -3b -3b = -24 + 24 + -3b Combine like terms: -24 + 24 = 0 -3b = 0 + -3b -3b = -3b Add '3b' to each side of the equation. -3b + 3b = -3b + 3b Combine like terms: -3b + 3b = 0 0 = -3b + 3b Combine like terms: -3b + 3b = 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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