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Simplifying -11z + 32 = z + -4(3z + -8) Reorder the terms: 32 + -11z = z + -4(3z + -8) Reorder the terms: 32 + -11z = z + -4(-8 + 3z) 32 + -11z = z + (-8 * -4 + 3z * -4) 32 + -11z = z + (32 + -12z) Reorder the terms: 32 + -11z = 32 + z + -12z Combine like terms: z + -12z = -11z 32 + -11z = 32 + -11z Add '-32' to each side of the equation. 32 + -32 + -11z = 32 + -32 + -11z Combine like terms: 32 + -32 = 0 0 + -11z = 32 + -32 + -11z -11z = 32 + -32 + -11z Combine like terms: 32 + -32 = 0 -11z = 0 + -11z -11z = -11z Add '11z' to each side of the equation. -11z + 11z = -11z + 11z Combine like terms: -11z + 11z = 0 0 = -11z + 11z Combine like terms: -11z + 11z = 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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