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Simplifying 30 + -4z = -7(6z + 2) Reorder the terms: 30 + -4z = -7(2 + 6z) 30 + -4z = (2 * -7 + 6z * -7) 30 + -4z = (-14 + -42z) Solving 30 + -4z = -14 + -42z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '42z' to each side of the equation. 30 + -4z + 42z = -14 + -42z + 42z Combine like terms: -4z + 42z = 38z 30 + 38z = -14 + -42z + 42z Combine like terms: -42z + 42z = 0 30 + 38z = -14 + 0 30 + 38z = -14 Add '-30' to each side of the equation. 30 + -30 + 38z = -14 + -30 Combine like terms: 30 + -30 = 0 0 + 38z = -14 + -30 38z = -14 + -30 Combine like terms: -14 + -30 = -44 38z = -44 Divide each side by '38'. z = -1.157894737 Simplifying z = -1.157894737
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