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