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Simplifying -30 = -7(6z + -4) Reorder the terms: -30 = -7(-4 + 6z) -30 = (-4 * -7 + 6z * -7) -30 = (28 + -42z) Solving -30 = 28 + -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 + 42z = 28 + -42z + 42z Combine like terms: -42z + 42z = 0 -30 + 42z = 28 + 0 -30 + 42z = 28 Add '30' to each side of the equation. -30 + 30 + 42z = 28 + 30 Combine like terms: -30 + 30 = 0 0 + 42z = 28 + 30 42z = 28 + 30 Combine like terms: 28 + 30 = 58 42z = 58 Divide each side by '42'. z = 1.380952381 Simplifying z = 1.380952381
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