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Simplifying 5(z + -3) = 4(z + -3) Reorder the terms: 5(-3 + z) = 4(z + -3) (-3 * 5 + z * 5) = 4(z + -3) (-15 + 5z) = 4(z + -3) Reorder the terms: -15 + 5z = 4(-3 + z) -15 + 5z = (-3 * 4 + z * 4) -15 + 5z = (-12 + 4z) Solving -15 + 5z = -12 + 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 = -12 + 4z + -4z Combine like terms: 5z + -4z = 1z -15 + 1z = -12 + 4z + -4z Combine like terms: 4z + -4z = 0 -15 + 1z = -12 + 0 -15 + 1z = -12 Add '15' to each side of the equation. -15 + 15 + 1z = -12 + 15 Combine like terms: -15 + 15 = 0 0 + 1z = -12 + 15 1z = -12 + 15 Combine like terms: -12 + 15 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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