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Simplifying 3z + -32 = 4(2z + -3) Reorder the terms: -32 + 3z = 4(2z + -3) Reorder the terms: -32 + 3z = 4(-3 + 2z) -32 + 3z = (-3 * 4 + 2z * 4) -32 + 3z = (-12 + 8z) Solving -32 + 3z = -12 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -32 + 3z + -8z = -12 + 8z + -8z Combine like terms: 3z + -8z = -5z -32 + -5z = -12 + 8z + -8z Combine like terms: 8z + -8z = 0 -32 + -5z = -12 + 0 -32 + -5z = -12 Add '32' to each side of the equation. -32 + 32 + -5z = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -5z = -12 + 32 -5z = -12 + 32 Combine like terms: -12 + 32 = 20 -5z = 20 Divide each side by '-5'. z = -4 Simplifying z = -4
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