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Simplifying 14 + 6z = 4(12z + -7) Reorder the terms: 14 + 6z = 4(-7 + 12z) 14 + 6z = (-7 * 4 + 12z * 4) 14 + 6z = (-28 + 48z) Solving 14 + 6z = -28 + 48z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-48z' to each side of the equation. 14 + 6z + -48z = -28 + 48z + -48z Combine like terms: 6z + -48z = -42z 14 + -42z = -28 + 48z + -48z Combine like terms: 48z + -48z = 0 14 + -42z = -28 + 0 14 + -42z = -28 Add '-14' to each side of the equation. 14 + -14 + -42z = -28 + -14 Combine like terms: 14 + -14 = 0 0 + -42z = -28 + -14 -42z = -28 + -14 Combine like terms: -28 + -14 = -42 -42z = -42 Divide each side by '-42'. z = 1 Simplifying z = 1
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