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Simplifying -3(z + 4) + 6 = 6z + 21 Reorder the terms: -3(4 + z) + 6 = 6z + 21 (4 * -3 + z * -3) + 6 = 6z + 21 (-12 + -3z) + 6 = 6z + 21 Reorder the terms: -12 + 6 + -3z = 6z + 21 Combine like terms: -12 + 6 = -6 -6 + -3z = 6z + 21 Reorder the terms: -6 + -3z = 21 + 6z Solving -6 + -3z = 21 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -6 + -3z + -6z = 21 + 6z + -6z Combine like terms: -3z + -6z = -9z -6 + -9z = 21 + 6z + -6z Combine like terms: 6z + -6z = 0 -6 + -9z = 21 + 0 -6 + -9z = 21 Add '6' to each side of the equation. -6 + 6 + -9z = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -9z = 21 + 6 -9z = 21 + 6 Combine like terms: 21 + 6 = 27 -9z = 27 Divide each side by '-9'. z = -3 Simplifying z = -3
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