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Simplifying 3(4 + -1b) + -27 = 17b + -5(3 + 4b) (4 * 3 + -1b * 3) + -27 = 17b + -5(3 + 4b) (12 + -3b) + -27 = 17b + -5(3 + 4b) Reorder the terms: 12 + -27 + -3b = 17b + -5(3 + 4b) Combine like terms: 12 + -27 = -15 -15 + -3b = 17b + -5(3 + 4b) -15 + -3b = 17b + (3 * -5 + 4b * -5) -15 + -3b = 17b + (-15 + -20b) Reorder the terms: -15 + -3b = -15 + 17b + -20b Combine like terms: 17b + -20b = -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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