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Simplifying 5(5z + 1) + -7 = 148 Reorder the terms: 5(1 + 5z) + -7 = 148 (1 * 5 + 5z * 5) + -7 = 148 (5 + 25z) + -7 = 148 Reorder the terms: 5 + -7 + 25z = 148 Combine like terms: 5 + -7 = -2 -2 + 25z = 148 Solving -2 + 25z = 148 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 25z = 148 + 2 Combine like terms: -2 + 2 = 0 0 + 25z = 148 + 2 25z = 148 + 2 Combine like terms: 148 + 2 = 150 25z = 150 Divide each side by '25'. z = 6 Simplifying z = 6
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