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Simplifying 5(3 + -1z) = -4z (3 * 5 + -1z * 5) = -4z (15 + -5z) = -4z Solving 15 + -5z = -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 15 + -5z + 4z = -4z + 4z Combine like terms: -5z + 4z = -1z 15 + -1z = -4z + 4z Combine like terms: -4z + 4z = 0 15 + -1z = 0 Add '-15' to each side of the equation. 15 + -15 + -1z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1z = 0 + -15 -1z = 0 + -15 Combine like terms: 0 + -15 = -15 -1z = -15 Divide each side by '-1'. z = 15 Simplifying z = 15
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