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Simplifying 38 + -8z = 12 + 2(6z + -7) Reorder the terms: 38 + -8z = 12 + 2(-7 + 6z) 38 + -8z = 12 + (-7 * 2 + 6z * 2) 38 + -8z = 12 + (-14 + 12z) Combine like terms: 12 + -14 = -2 38 + -8z = -2 + 12z Solving 38 + -8z = -2 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 38 + -8z + -12z = -2 + 12z + -12z Combine like terms: -8z + -12z = -20z 38 + -20z = -2 + 12z + -12z Combine like terms: 12z + -12z = 0 38 + -20z = -2 + 0 38 + -20z = -2 Add '-38' to each side of the equation. 38 + -38 + -20z = -2 + -38 Combine like terms: 38 + -38 = 0 0 + -20z = -2 + -38 -20z = -2 + -38 Combine like terms: -2 + -38 = -40 -20z = -40 Divide each side by '-20'. z = 2 Simplifying z = 2
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