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Simplifying -5(z + 3) + 3z = 0 Reorder the terms: -5(3 + z) + 3z = 0 (3 * -5 + z * -5) + 3z = 0 (-15 + -5z) + 3z = 0 Combine like terms: -5z + 3z = -2z -15 + -2z = 0 Solving -15 + -2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2z = 0 + 15 -2z = 0 + 15 Combine like terms: 0 + 15 = 15 -2z = 15 Divide each side by '-2'. z = -7.5 Simplifying z = -7.5
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