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Simplifying -4(z + 3) + 6 = 6z + 4 Reorder the terms: -4(3 + z) + 6 = 6z + 4 (3 * -4 + z * -4) + 6 = 6z + 4 (-12 + -4z) + 6 = 6z + 4 Reorder the terms: -12 + 6 + -4z = 6z + 4 Combine like terms: -12 + 6 = -6 -6 + -4z = 6z + 4 Reorder the terms: -6 + -4z = 4 + 6z Solving -6 + -4z = 4 + 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 + -4z + -6z = 4 + 6z + -6z Combine like terms: -4z + -6z = -10z -6 + -10z = 4 + 6z + -6z Combine like terms: 6z + -6z = 0 -6 + -10z = 4 + 0 -6 + -10z = 4 Add '6' to each side of the equation. -6 + 6 + -10z = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -10z = 4 + 6 -10z = 4 + 6 Combine like terms: 4 + 6 = 10 -10z = 10 Divide each side by '-10'. z = -1 Simplifying z = -1
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