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Simplifying 3(2z + -4) = z(5 + 3) Reorder the terms: 3(-4 + 2z) = z(5 + 3) (-4 * 3 + 2z * 3) = z(5 + 3) (-12 + 6z) = z(5 + 3) Combine like terms: 5 + 3 = 8 -12 + 6z = z(8) Reorder the terms for easier multiplication: -12 + 6z = 8z Solving -12 + 6z = 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. -12 + 6z + -8z = 8z + -8z Combine like terms: 6z + -8z = -2z -12 + -2z = 8z + -8z Combine like terms: 8z + -8z = 0 -12 + -2z = 0 Add '12' to each side of the equation. -12 + 12 + -2z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2z = 0 + 12 -2z = 0 + 12 Combine like terms: 0 + 12 = 12 -2z = 12 Divide each side by '-2'. z = -6 Simplifying z = -6
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