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Simplifying -12 + 7b = -5 + 7(b + -1) Reorder the terms: -12 + 7b = -5 + 7(-1 + b) -12 + 7b = -5 + (-1 * 7 + b * 7) -12 + 7b = -5 + (-7 + 7b) Combine like terms: -5 + -7 = -12 -12 + 7b = -12 + 7b Add '12' to each side of the equation. -12 + 12 + 7b = -12 + 12 + 7b Combine like terms: -12 + 12 = 0 0 + 7b = -12 + 12 + 7b 7b = -12 + 12 + 7b Combine like terms: -12 + 12 = 0 7b = 0 + 7b 7b = 7b Add '-7b' to each side of the equation. 7b + -7b = 7b + -7b Combine like terms: 7b + -7b = 0 0 = 7b + -7b Combine like terms: 7b + -7b = 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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