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Simplifying 3(z + 4) + -2 = 2(2z + 5) + -1z Reorder the terms: 3(4 + z) + -2 = 2(2z + 5) + -1z (4 * 3 + z * 3) + -2 = 2(2z + 5) + -1z (12 + 3z) + -2 = 2(2z + 5) + -1z Reorder the terms: 12 + -2 + 3z = 2(2z + 5) + -1z Combine like terms: 12 + -2 = 10 10 + 3z = 2(2z + 5) + -1z Reorder the terms: 10 + 3z = 2(5 + 2z) + -1z 10 + 3z = (5 * 2 + 2z * 2) + -1z 10 + 3z = (10 + 4z) + -1z Combine like terms: 4z + -1z = 3z 10 + 3z = 10 + 3z Add '-10' to each side of the equation. 10 + -10 + 3z = 10 + -10 + 3z Combine like terms: 10 + -10 = 0 0 + 3z = 10 + -10 + 3z 3z = 10 + -10 + 3z Combine like terms: 10 + -10 = 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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