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Simplifying 2(z + -4) = -6z + 56 Reorder the terms: 2(-4 + z) = -6z + 56 (-4 * 2 + z * 2) = -6z + 56 (-8 + 2z) = -6z + 56 Reorder the terms: -8 + 2z = 56 + -6z Solving -8 + 2z = 56 + -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. -8 + 2z + 6z = 56 + -6z + 6z Combine like terms: 2z + 6z = 8z -8 + 8z = 56 + -6z + 6z Combine like terms: -6z + 6z = 0 -8 + 8z = 56 + 0 -8 + 8z = 56 Add '8' to each side of the equation. -8 + 8 + 8z = 56 + 8 Combine like terms: -8 + 8 = 0 0 + 8z = 56 + 8 8z = 56 + 8 Combine like terms: 56 + 8 = 64 8z = 64 Divide each side by '8'. z = 8 Simplifying z = 8
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