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Simplifying 2(-3z + -4) = 5(1 + -1z) Reorder the terms: 2(-4 + -3z) = 5(1 + -1z) (-4 * 2 + -3z * 2) = 5(1 + -1z) (-8 + -6z) = 5(1 + -1z) -8 + -6z = (1 * 5 + -1z * 5) -8 + -6z = (5 + -5z) Solving -8 + -6z = 5 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -8 + -6z + 5z = 5 + -5z + 5z Combine like terms: -6z + 5z = -1z -8 + -1z = 5 + -5z + 5z Combine like terms: -5z + 5z = 0 -8 + -1z = 5 + 0 -8 + -1z = 5 Add '8' to each side of the equation. -8 + 8 + -1z = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = 5 + 8 -1z = 5 + 8 Combine like terms: 5 + 8 = 13 -1z = 13 Divide each side by '-1'. z = -13 Simplifying z = -13
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