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Simplifying 3b + 8 + -1(b + 2) = 4b + 14 + -1(2b + 8) Reorder the terms: 3b + 8 + -1(2 + b) = 4b + 14 + -1(2b + 8) 3b + 8 + (2 * -1 + b * -1) = 4b + 14 + -1(2b + 8) 3b + 8 + (-2 + -1b) = 4b + 14 + -1(2b + 8) Reorder the terms: 8 + -2 + 3b + -1b = 4b + 14 + -1(2b + 8) Combine like terms: 8 + -2 = 6 6 + 3b + -1b = 4b + 14 + -1(2b + 8) Combine like terms: 3b + -1b = 2b 6 + 2b = 4b + 14 + -1(2b + 8) Reorder the terms: 6 + 2b = 4b + 14 + -1(8 + 2b) 6 + 2b = 4b + 14 + (8 * -1 + 2b * -1) 6 + 2b = 4b + 14 + (-8 + -2b) Reorder the terms: 6 + 2b = 14 + -8 + 4b + -2b Combine like terms: 14 + -8 = 6 6 + 2b = 6 + 4b + -2b Combine like terms: 4b + -2b = 2b 6 + 2b = 6 + 2b Add '-6' to each side of the equation. 6 + -6 + 2b = 6 + -6 + 2b Combine like terms: 6 + -6 = 0 0 + 2b = 6 + -6 + 2b 2b = 6 + -6 + 2b Combine like terms: 6 + -6 = 0 2b = 0 + 2b 2b = 2b Add '-2b' to each side of the equation. 2b + -2b = 2b + -2b Combine like terms: 2b + -2b = 0 0 = 2b + -2b Combine like terms: 2b + -2b = 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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