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Simplifying 4(3z + 2) = -13z + -10 Reorder the terms: 4(2 + 3z) = -13z + -10 (2 * 4 + 3z * 4) = -13z + -10 (8 + 12z) = -13z + -10 Reorder the terms: 8 + 12z = -10 + -13z Solving 8 + 12z = -10 + -13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13z' to each side of the equation. 8 + 12z + 13z = -10 + -13z + 13z Combine like terms: 12z + 13z = 25z 8 + 25z = -10 + -13z + 13z Combine like terms: -13z + 13z = 0 8 + 25z = -10 + 0 8 + 25z = -10 Add '-8' to each side of the equation. 8 + -8 + 25z = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 25z = -10 + -8 25z = -10 + -8 Combine like terms: -10 + -8 = -18 25z = -18 Divide each side by '25'. z = -0.72 Simplifying z = -0.72
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