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Simplifying 3z + 7 = 6z + -7(2 + -6z) Reorder the terms: 7 + 3z = 6z + -7(2 + -6z) 7 + 3z = 6z + (2 * -7 + -6z * -7) 7 + 3z = 6z + (-14 + 42z) Reorder the terms: 7 + 3z = -14 + 6z + 42z Combine like terms: 6z + 42z = 48z 7 + 3z = -14 + 48z Solving 7 + 3z = -14 + 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. 7 + 3z + -48z = -14 + 48z + -48z Combine like terms: 3z + -48z = -45z 7 + -45z = -14 + 48z + -48z Combine like terms: 48z + -48z = 0 7 + -45z = -14 + 0 7 + -45z = -14 Add '-7' to each side of the equation. 7 + -7 + -45z = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -45z = -14 + -7 -45z = -14 + -7 Combine like terms: -14 + -7 = -21 -45z = -21 Divide each side by '-45'. z = 0.4666666667 Simplifying z = 0.4666666667
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