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Simplifying 5(6z + -1) + -2(z + 8) = 25(z + 1) Reorder the terms: 5(-1 + 6z) + -2(z + 8) = 25(z + 1) (-1 * 5 + 6z * 5) + -2(z + 8) = 25(z + 1) (-5 + 30z) + -2(z + 8) = 25(z + 1) Reorder the terms: -5 + 30z + -2(8 + z) = 25(z + 1) -5 + 30z + (8 * -2 + z * -2) = 25(z + 1) -5 + 30z + (-16 + -2z) = 25(z + 1) Reorder the terms: -5 + -16 + 30z + -2z = 25(z + 1) Combine like terms: -5 + -16 = -21 -21 + 30z + -2z = 25(z + 1) Combine like terms: 30z + -2z = 28z -21 + 28z = 25(z + 1) Reorder the terms: -21 + 28z = 25(1 + z) -21 + 28z = (1 * 25 + z * 25) -21 + 28z = (25 + 25z) Solving -21 + 28z = 25 + 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. -21 + 28z + -25z = 25 + 25z + -25z Combine like terms: 28z + -25z = 3z -21 + 3z = 25 + 25z + -25z Combine like terms: 25z + -25z = 0 -21 + 3z = 25 + 0 -21 + 3z = 25 Add '21' to each side of the equation. -21 + 21 + 3z = 25 + 21 Combine like terms: -21 + 21 = 0 0 + 3z = 25 + 21 3z = 25 + 21 Combine like terms: 25 + 21 = 46 3z = 46 Divide each side by '3'. z = 15.33333333 Simplifying z = 15.33333333
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