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Simplifying -2(6z + -3) = -15 + 8z Reorder the terms: -2(-3 + 6z) = -15 + 8z (-3 * -2 + 6z * -2) = -15 + 8z (6 + -12z) = -15 + 8z Solving 6 + -12z = -15 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 6 + -12z + -8z = -15 + 8z + -8z Combine like terms: -12z + -8z = -20z 6 + -20z = -15 + 8z + -8z Combine like terms: 8z + -8z = 0 6 + -20z = -15 + 0 6 + -20z = -15 Add '-6' to each side of the equation. 6 + -6 + -20z = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -20z = -15 + -6 -20z = -15 + -6 Combine like terms: -15 + -6 = -21 -20z = -21 Divide each side by '-20'. z = 1.05 Simplifying z = 1.05
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