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Simplifying 2(z + -3) + 3z = 7z + 6 Reorder the terms: 2(-3 + z) + 3z = 7z + 6 (-3 * 2 + z * 2) + 3z = 7z + 6 (-6 + 2z) + 3z = 7z + 6 Combine like terms: 2z + 3z = 5z -6 + 5z = 7z + 6 Reorder the terms: -6 + 5z = 6 + 7z Solving -6 + 5z = 6 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -6 + 5z + -7z = 6 + 7z + -7z Combine like terms: 5z + -7z = -2z -6 + -2z = 6 + 7z + -7z Combine like terms: 7z + -7z = 0 -6 + -2z = 6 + 0 -6 + -2z = 6 Add '6' to each side of the equation. -6 + 6 + -2z = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -2z = 6 + 6 -2z = 6 + 6 Combine like terms: 6 + 6 = 12 -2z = 12 Divide each side by '-2'. z = -6 Simplifying z = -6
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