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Simplifying 10 = -3(24z) + 2(z + -4) Remove parenthesis around (24z) 10 = -3 * 24z + 2(z + -4) Multiply -3 * 24 10 = -72z + 2(z + -4) Reorder the terms: 10 = -72z + 2(-4 + z) 10 = -72z + (-4 * 2 + z * 2) 10 = -72z + (-8 + 2z) Reorder the terms: 10 = -8 + -72z + 2z Combine like terms: -72z + 2z = -70z 10 = -8 + -70z Solving 10 = -8 + -70z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '70z' to each side of the equation. 10 + 70z = -8 + -70z + 70z Combine like terms: -70z + 70z = 0 10 + 70z = -8 + 0 10 + 70z = -8 Add '-10' to each side of the equation. 10 + -10 + 70z = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 70z = -8 + -10 70z = -8 + -10 Combine like terms: -8 + -10 = -18 70z = -18 Divide each side by '70'. z = -0.2571428571 Simplifying z = -0.2571428571
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