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Simplifying -8 = 3 + -2(z + -4) + 3z Reorder the terms: -8 = 3 + -2(-4 + z) + 3z -8 = 3 + (-4 * -2 + z * -2) + 3z -8 = 3 + (8 + -2z) + 3z Combine like terms: 3 + 8 = 11 -8 = 11 + -2z + 3z Combine like terms: -2z + 3z = 1z -8 = 11 + 1z Solving -8 = 11 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -8 + -1z = 11 + 1z + -1z Combine like terms: 1z + -1z = 0 -8 + -1z = 11 + 0 -8 + -1z = 11 Add '8' to each side of the equation. -8 + 8 + -1z = 11 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = 11 + 8 -1z = 11 + 8 Combine like terms: 11 + 8 = 19 -1z = 19 Divide each side by '-1'. z = -19 Simplifying z = -19
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