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Simplifying 6z + 5(6 + -1z) = -1(z + -3) + 15 6z + (6 * 5 + -1z * 5) = -1(z + -3) + 15 6z + (30 + -5z) = -1(z + -3) + 15 Reorder the terms: 30 + 6z + -5z = -1(z + -3) + 15 Combine like terms: 6z + -5z = 1z 30 + 1z = -1(z + -3) + 15 Reorder the terms: 30 + 1z = -1(-3 + z) + 15 30 + 1z = (-3 * -1 + z * -1) + 15 30 + 1z = (3 + -1z) + 15 Reorder the terms: 30 + 1z = 3 + 15 + -1z Combine like terms: 3 + 15 = 18 30 + 1z = 18 + -1z Solving 30 + 1z = 18 + -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. 30 + 1z + z = 18 + -1z + z Combine like terms: 1z + z = 2z 30 + 2z = 18 + -1z + z Combine like terms: -1z + z = 0 30 + 2z = 18 + 0 30 + 2z = 18 Add '-30' to each side of the equation. 30 + -30 + 2z = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 2z = 18 + -30 2z = 18 + -30 Combine like terms: 18 + -30 = -12 2z = -12 Divide each side by '2'. z = -6 Simplifying z = -6
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