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Simplifying 3(2z + 7) + 4 = 5(x + -3) Reorder the terms: 3(7 + 2z) + 4 = 5(x + -3) (7 * 3 + 2z * 3) + 4 = 5(x + -3) (21 + 6z) + 4 = 5(x + -3) Reorder the terms: 21 + 4 + 6z = 5(x + -3) Combine like terms: 21 + 4 = 25 25 + 6z = 5(x + -3) Reorder the terms: 25 + 6z = 5(-3 + x) 25 + 6z = (-3 * 5 + x * 5) 25 + 6z = (-15 + 5x) Solving 25 + 6z = -15 + 5x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 6z = -15 + -25 + 5x Combine like terms: 25 + -25 = 0 0 + 6z = -15 + -25 + 5x 6z = -15 + -25 + 5x Combine like terms: -15 + -25 = -40 6z = -40 + 5x Divide each side by '6'. z = -6.666666667 + 0.8333333333x Simplifying z = -6.666666667 + 0.8333333333x
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