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Simplifying 6z + 5(5 + -1z) = -1(z + -3) + 10 6z + (5 * 5 + -1z * 5) = -1(z + -3) + 10 6z + (25 + -5z) = -1(z + -3) + 10 Reorder the terms: 25 + 6z + -5z = -1(z + -3) + 10 Combine like terms: 6z + -5z = 1z 25 + 1z = -1(z + -3) + 10 Reorder the terms: 25 + 1z = -1(-3 + z) + 10 25 + 1z = (-3 * -1 + z * -1) + 10 25 + 1z = (3 + -1z) + 10 Reorder the terms: 25 + 1z = 3 + 10 + -1z Combine like terms: 3 + 10 = 13 25 + 1z = 13 + -1z Solving 25 + 1z = 13 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 25 + 1z + z = 13 + -1z + z Combine like terms: 1z + z = 2z 25 + 2z = 13 + -1z + z Combine like terms: -1z + z = 0 25 + 2z = 13 + 0 25 + 2z = 13 Add '-25' to each side of the equation. 25 + -25 + 2z = 13 + -25 Combine like terms: 25 + -25 = 0 0 + 2z = 13 + -25 2z = 13 + -25 Combine like terms: 13 + -25 = -12 2z = -12 Divide each side by '2'. z = -6 Simplifying z = -6
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