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Simplifying 3(9 + -1z) + -51 = 27z + -6(4 + 5z) (9 * 3 + -1z * 3) + -51 = 27z + -6(4 + 5z) (27 + -3z) + -51 = 27z + -6(4 + 5z) Reorder the terms: 27 + -51 + -3z = 27z + -6(4 + 5z) Combine like terms: 27 + -51 = -24 -24 + -3z = 27z + -6(4 + 5z) -24 + -3z = 27z + (4 * -6 + 5z * -6) -24 + -3z = 27z + (-24 + -30z) Reorder the terms: -24 + -3z = -24 + 27z + -30z Combine like terms: 27z + -30z = -3z -24 + -3z = -24 + -3z Add '24' to each side of the equation. -24 + 24 + -3z = -24 + 24 + -3z Combine like terms: -24 + 24 = 0 0 + -3z = -24 + 24 + -3z -3z = -24 + 24 + -3z Combine like terms: -24 + 24 = 0 -3z = 0 + -3z -3z = -3z Add '3z' to each side of the equation. -3z + 3z = -3z + 3z Combine like terms: -3z + 3z = 0 0 = -3z + 3z Combine like terms: -3z + 3z = 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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