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Simplifying 3z + -1(12 + -1z) = -2(6 + -2z) 3z + (12 * -1 + -1z * -1) = -2(6 + -2z) 3z + (-12 + 1z) = -2(6 + -2z) Reorder the terms: -12 + 3z + 1z = -2(6 + -2z) Combine like terms: 3z + 1z = 4z -12 + 4z = -2(6 + -2z) -12 + 4z = (6 * -2 + -2z * -2) -12 + 4z = (-12 + 4z) Add '12' to each side of the equation. -12 + 12 + 4z = -12 + 12 + 4z Combine like terms: -12 + 12 = 0 0 + 4z = -12 + 12 + 4z 4z = -12 + 12 + 4z Combine like terms: -12 + 12 = 0 4z = 0 + 4z 4z = 4z Add '-4z' to each side of the equation. 4z + -4z = 4z + -4z Combine like terms: 4z + -4z = 0 0 = 4z + -4z Combine like terms: 4z + -4z = 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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