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Simplifying 4z + -6 = 6(z + 12) + 8 Reorder the terms: -6 + 4z = 6(z + 12) + 8 Reorder the terms: -6 + 4z = 6(12 + z) + 8 -6 + 4z = (12 * 6 + z * 6) + 8 -6 + 4z = (72 + 6z) + 8 Reorder the terms: -6 + 4z = 72 + 8 + 6z Combine like terms: 72 + 8 = 80 -6 + 4z = 80 + 6z Solving -6 + 4z = 80 + 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 = 80 + 6z + -6z Combine like terms: 4z + -6z = -2z -6 + -2z = 80 + 6z + -6z Combine like terms: 6z + -6z = 0 -6 + -2z = 80 + 0 -6 + -2z = 80 Add '6' to each side of the equation. -6 + 6 + -2z = 80 + 6 Combine like terms: -6 + 6 = 0 0 + -2z = 80 + 6 -2z = 80 + 6 Combine like terms: 80 + 6 = 86 -2z = 86 Divide each side by '-2'. z = -43 Simplifying z = -43
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