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Simplifying 7 = 6(2z + 3) * -5 Reorder the terms: 7 = 6(3 + 2z) * -5 Reorder the terms for easier multiplication: 7 = 6 * -5(3 + 2z) Multiply 6 * -5 7 = -30(3 + 2z) 7 = (3 * -30 + 2z * -30) 7 = (-90 + -60z) Solving 7 = -90 + -60z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '60z' to each side of the equation. 7 + 60z = -90 + -60z + 60z Combine like terms: -60z + 60z = 0 7 + 60z = -90 + 0 7 + 60z = -90 Add '-7' to each side of the equation. 7 + -7 + 60z = -90 + -7 Combine like terms: 7 + -7 = 0 0 + 60z = -90 + -7 60z = -90 + -7 Combine like terms: -90 + -7 = -97 60z = -97 Divide each side by '60'. z = -1.616666667 Simplifying z = -1.616666667
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