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Simplifying -6z + 32 = 4(4z + -3) Reorder the terms: 32 + -6z = 4(4z + -3) Reorder the terms: 32 + -6z = 4(-3 + 4z) 32 + -6z = (-3 * 4 + 4z * 4) 32 + -6z = (-12 + 16z) Solving 32 + -6z = -12 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 32 + -6z + -16z = -12 + 16z + -16z Combine like terms: -6z + -16z = -22z 32 + -22z = -12 + 16z + -16z Combine like terms: 16z + -16z = 0 32 + -22z = -12 + 0 32 + -22z = -12 Add '-32' to each side of the equation. 32 + -32 + -22z = -12 + -32 Combine like terms: 32 + -32 = 0 0 + -22z = -12 + -32 -22z = -12 + -32 Combine like terms: -12 + -32 = -44 -22z = -44 Divide each side by '-22'. z = 2 Simplifying z = 2
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