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Simplifying 5z + -2 = 2(3z + -4) Reorder the terms: -2 + 5z = 2(3z + -4) Reorder the terms: -2 + 5z = 2(-4 + 3z) -2 + 5z = (-4 * 2 + 3z * 2) -2 + 5z = (-8 + 6z) Solving -2 + 5z = -8 + 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. -2 + 5z + -6z = -8 + 6z + -6z Combine like terms: 5z + -6z = -1z -2 + -1z = -8 + 6z + -6z Combine like terms: 6z + -6z = 0 -2 + -1z = -8 + 0 -2 + -1z = -8 Add '2' to each side of the equation. -2 + 2 + -1z = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -1z = -8 + 2 -1z = -8 + 2 Combine like terms: -8 + 2 = -6 -1z = -6 Divide each side by '-1'. z = 6 Simplifying z = 6
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