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Simplifying 3(6 + -5b) = 8 + 5(2 + -3b) (6 * 3 + -5b * 3) = 8 + 5(2 + -3b) (18 + -15b) = 8 + 5(2 + -3b) 18 + -15b = 8 + (2 * 5 + -3b * 5) 18 + -15b = 8 + (10 + -15b) Combine like terms: 8 + 10 = 18 18 + -15b = 18 + -15b Add '-18' to each side of the equation. 18 + -18 + -15b = 18 + -18 + -15b Combine like terms: 18 + -18 = 0 0 + -15b = 18 + -18 + -15b -15b = 18 + -18 + -15b Combine like terms: 18 + -18 = 0 -15b = 0 + -15b -15b = -15b Add '15b' to each side of the equation. -15b + 15b = -15b + 15b Combine like terms: -15b + 15b = 0 0 = -15b + 15b Combine like terms: -15b + 15b = 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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