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Simplifying 3(6 + -1b) + -33 = 27b + -5(3 + 6b) (6 * 3 + -1b * 3) + -33 = 27b + -5(3 + 6b) (18 + -3b) + -33 = 27b + -5(3 + 6b) Reorder the terms: 18 + -33 + -3b = 27b + -5(3 + 6b) Combine like terms: 18 + -33 = -15 -15 + -3b = 27b + -5(3 + 6b) -15 + -3b = 27b + (3 * -5 + 6b * -5) -15 + -3b = 27b + (-15 + -30b) Reorder the terms: -15 + -3b = -15 + 27b + -30b Combine like terms: 27b + -30b = -3b -15 + -3b = -15 + -3b Add '15' to each side of the equation. -15 + 15 + -3b = -15 + 15 + -3b Combine like terms: -15 + 15 = 0 0 + -3b = -15 + 15 + -3b -3b = -15 + 15 + -3b Combine like terms: -15 + 15 = 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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