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Simplifying 3(z + -22) + 2(z + -4) = 6 Reorder the terms: 3(-22 + z) + 2(z + -4) = 6 (-22 * 3 + z * 3) + 2(z + -4) = 6 (-66 + 3z) + 2(z + -4) = 6 Reorder the terms: -66 + 3z + 2(-4 + z) = 6 -66 + 3z + (-4 * 2 + z * 2) = 6 -66 + 3z + (-8 + 2z) = 6 Reorder the terms: -66 + -8 + 3z + 2z = 6 Combine like terms: -66 + -8 = -74 -74 + 3z + 2z = 6 Combine like terms: 3z + 2z = 5z -74 + 5z = 6 Solving -74 + 5z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + 5z = 6 + 74 Combine like terms: -74 + 74 = 0 0 + 5z = 6 + 74 5z = 6 + 74 Combine like terms: 6 + 74 = 80 5z = 80 Divide each side by '5'. z = 16 Simplifying z = 16
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