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Simplifying 7 + -1z = 3 + z + 4 + -2z Reorder the terms: 7 + -1z = 3 + 4 + z + -2z Combine like terms: 3 + 4 = 7 7 + -1z = 7 + z + -2z Combine like terms: z + -2z = -1z 7 + -1z = 7 + -1z Add '-7' to each side of the equation. 7 + -7 + -1z = 7 + -7 + -1z Combine like terms: 7 + -7 = 0 0 + -1z = 7 + -7 + -1z -1z = 7 + -7 + -1z Combine like terms: 7 + -7 = 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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