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Simplifying 4z + -7 = 5(5z + -3) Reorder the terms: -7 + 4z = 5(5z + -3) Reorder the terms: -7 + 4z = 5(-3 + 5z) -7 + 4z = (-3 * 5 + 5z * 5) -7 + 4z = (-15 + 25z) Solving -7 + 4z = -15 + 25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25z' to each side of the equation. -7 + 4z + -25z = -15 + 25z + -25z Combine like terms: 4z + -25z = -21z -7 + -21z = -15 + 25z + -25z Combine like terms: 25z + -25z = 0 -7 + -21z = -15 + 0 -7 + -21z = -15 Add '7' to each side of the equation. -7 + 7 + -21z = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -21z = -15 + 7 -21z = -15 + 7 Combine like terms: -15 + 7 = -8 -21z = -8 Divide each side by '-21'. z = 0.380952381 Simplifying z = 0.380952381
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