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Simplifying 3(3 + -1b) + -21 = 27b + -6(2 + 5b) (3 * 3 + -1b * 3) + -21 = 27b + -6(2 + 5b) (9 + -3b) + -21 = 27b + -6(2 + 5b) Reorder the terms: 9 + -21 + -3b = 27b + -6(2 + 5b) Combine like terms: 9 + -21 = -12 -12 + -3b = 27b + -6(2 + 5b) -12 + -3b = 27b + (2 * -6 + 5b * -6) -12 + -3b = 27b + (-12 + -30b) Reorder the terms: -12 + -3b = -12 + 27b + -30b Combine like terms: 27b + -30b = -3b -12 + -3b = -12 + -3b Add '12' to each side of the equation. -12 + 12 + -3b = -12 + 12 + -3b Combine like terms: -12 + 12 = 0 0 + -3b = -12 + 12 + -3b -3b = -12 + 12 + -3b Combine like terms: -12 + 12 = 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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