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Simplifying -3(z + 7) + 6 = 6 Reorder the terms: -3(7 + z) + 6 = 6 (7 * -3 + z * -3) + 6 = 6 (-21 + -3z) + 6 = 6 Reorder the terms: -21 + 6 + -3z = 6 Combine like terms: -21 + 6 = -15 -15 + -3z = 6 Solving -15 + -3z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -3z = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -3z = 6 + 15 -3z = 6 + 15 Combine like terms: 6 + 15 = 21 -3z = 21 Divide each side by '-3'. z = -7 Simplifying z = -7
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