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Simplifying 2(z + 1) + -4(2 + -4) = 2(z + 5) Reorder the terms: 2(1 + z) + -4(2 + -4) = 2(z + 5) (1 * 2 + z * 2) + -4(2 + -4) = 2(z + 5) (2 + 2z) + -4(2 + -4) = 2(z + 5) Combine like terms: 2 + -4 = -2 2 + 2z + -4(-2) = 2(z + 5) Multiply -4 * -2 2 + 2z + 8 = 2(z + 5) Reorder the terms: 2 + 8 + 2z = 2(z + 5) Combine like terms: 2 + 8 = 10 10 + 2z = 2(z + 5) Reorder the terms: 10 + 2z = 2(5 + z) 10 + 2z = (5 * 2 + z * 2) 10 + 2z = (10 + 2z) Add '-10' to each side of the equation. 10 + -10 + 2z = 10 + -10 + 2z Combine like terms: 10 + -10 = 0 0 + 2z = 10 + -10 + 2z 2z = 10 + -10 + 2z Combine like terms: 10 + -10 = 0 2z = 0 + 2z 2z = 2z Add '-2z' to each side of the equation. 2z + -2z = 2z + -2z Combine like terms: 2z + -2z = 0 0 = 2z + -2z Combine like terms: 2z + -2z = 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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