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Simplifying 3(6 + -1z) + -38 = 21z + -4(5 + 6z) (6 * 3 + -1z * 3) + -38 = 21z + -4(5 + 6z) (18 + -3z) + -38 = 21z + -4(5 + 6z) Reorder the terms: 18 + -38 + -3z = 21z + -4(5 + 6z) Combine like terms: 18 + -38 = -20 -20 + -3z = 21z + -4(5 + 6z) -20 + -3z = 21z + (5 * -4 + 6z * -4) -20 + -3z = 21z + (-20 + -24z) Reorder the terms: -20 + -3z = -20 + 21z + -24z Combine like terms: 21z + -24z = -3z -20 + -3z = -20 + -3z Add '20' to each side of the equation. -20 + 20 + -3z = -20 + 20 + -3z Combine like terms: -20 + 20 = 0 0 + -3z = -20 + 20 + -3z -3z = -20 + 20 + -3z Combine like terms: -20 + 20 = 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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