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Simplifying 5z + -2 = 3(3z + -4) Reorder the terms: -2 + 5z = 3(3z + -4) Reorder the terms: -2 + 5z = 3(-4 + 3z) -2 + 5z = (-4 * 3 + 3z * 3) -2 + 5z = (-12 + 9z) Solving -2 + 5z = -12 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -2 + 5z + -9z = -12 + 9z + -9z Combine like terms: 5z + -9z = -4z -2 + -4z = -12 + 9z + -9z Combine like terms: 9z + -9z = 0 -2 + -4z = -12 + 0 -2 + -4z = -12 Add '2' to each side of the equation. -2 + 2 + -4z = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -4z = -12 + 2 -4z = -12 + 2 Combine like terms: -12 + 2 = -10 -4z = -10 Divide each side by '-4'. z = 2.5 Simplifying z = 2.5
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