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Simplifying 24 = -2 + 4(z + -7) Reorder the terms: 24 = -2 + 4(-7 + z) 24 = -2 + (-7 * 4 + z * 4) 24 = -2 + (-28 + 4z) Combine like terms: -2 + -28 = -30 24 = -30 + 4z Solving 24 = -30 + 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. 24 + -4z = -30 + 4z + -4z Combine like terms: 4z + -4z = 0 24 + -4z = -30 + 0 24 + -4z = -30 Add '-24' to each side of the equation. 24 + -24 + -4z = -30 + -24 Combine like terms: 24 + -24 = 0 0 + -4z = -30 + -24 -4z = -30 + -24 Combine like terms: -30 + -24 = -54 -4z = -54 Divide each side by '-4'. z = 13.5 Simplifying z = 13.5
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