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Simplifying 4z + 1 = 3(2z + 5) Reorder the terms: 1 + 4z = 3(2z + 5) Reorder the terms: 1 + 4z = 3(5 + 2z) 1 + 4z = (5 * 3 + 2z * 3) 1 + 4z = (15 + 6z) Solving 1 + 4z = 15 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 1 + 4z + -6z = 15 + 6z + -6z Combine like terms: 4z + -6z = -2z 1 + -2z = 15 + 6z + -6z Combine like terms: 6z + -6z = 0 1 + -2z = 15 + 0 1 + -2z = 15 Add '-1' to each side of the equation. 1 + -1 + -2z = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -2z = 15 + -1 -2z = 15 + -1 Combine like terms: 15 + -1 = 14 -2z = 14 Divide each side by '-2'. z = -7 Simplifying z = -7
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