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Simplifying -11 + 12z = z + 2(5z + -3) Reorder the terms: -11 + 12z = z + 2(-3 + 5z) -11 + 12z = z + (-3 * 2 + 5z * 2) -11 + 12z = z + (-6 + 10z) Reorder the terms: -11 + 12z = -6 + z + 10z Combine like terms: z + 10z = 11z -11 + 12z = -6 + 11z Solving -11 + 12z = -6 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -11 + 12z + -11z = -6 + 11z + -11z Combine like terms: 12z + -11z = 1z -11 + 1z = -6 + 11z + -11z Combine like terms: 11z + -11z = 0 -11 + 1z = -6 + 0 -11 + 1z = -6 Add '11' to each side of the equation. -11 + 11 + 1z = -6 + 11 Combine like terms: -11 + 11 = 0 0 + 1z = -6 + 11 1z = -6 + 11 Combine like terms: -6 + 11 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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