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Simplifying 5(2b + 3) = 6b + 9 + 4b + 6 Reorder the terms: 5(3 + 2b) = 6b + 9 + 4b + 6 (3 * 5 + 2b * 5) = 6b + 9 + 4b + 6 (15 + 10b) = 6b + 9 + 4b + 6 Reorder the terms: 15 + 10b = 9 + 6 + 6b + 4b Combine like terms: 9 + 6 = 15 15 + 10b = 15 + 6b + 4b Combine like terms: 6b + 4b = 10b 15 + 10b = 15 + 10b Add '-15' to each side of the equation. 15 + -15 + 10b = 15 + -15 + 10b Combine like terms: 15 + -15 = 0 0 + 10b = 15 + -15 + 10b 10b = 15 + -15 + 10b Combine like terms: 15 + -15 = 0 10b = 0 + 10b 10b = 10b Add '-10b' to each side of the equation. 10b + -10b = 10b + -10b Combine like terms: 10b + -10b = 0 0 = 10b + -10b Combine like terms: 10b + -10b = 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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