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Simplifying 10 = -3(24 + -1z) + 2(z + -4) 10 = (24 * -3 + -1z * -3) + 2(z + -4) 10 = (-72 + 3z) + 2(z + -4) Reorder the terms: 10 = -72 + 3z + 2(-4 + z) 10 = -72 + 3z + (-4 * 2 + z * 2) 10 = -72 + 3z + (-8 + 2z) Reorder the terms: 10 = -72 + -8 + 3z + 2z Combine like terms: -72 + -8 = -80 10 = -80 + 3z + 2z Combine like terms: 3z + 2z = 5z 10 = -80 + 5z Solving 10 = -80 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 10 + -5z = -80 + 5z + -5z Combine like terms: 5z + -5z = 0 10 + -5z = -80 + 0 10 + -5z = -80 Add '-10' to each side of the equation. 10 + -10 + -5z = -80 + -10 Combine like terms: 10 + -10 = 0 0 + -5z = -80 + -10 -5z = -80 + -10 Combine like terms: -80 + -10 = -90 -5z = -90 Divide each side by '-5'. z = 18 Simplifying z = 18
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