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Simplifying 5(z + 3) = 3(1 + -2z) Reorder the terms: 5(3 + z) = 3(1 + -2z) (3 * 5 + z * 5) = 3(1 + -2z) (15 + 5z) = 3(1 + -2z) 15 + 5z = (1 * 3 + -2z * 3) 15 + 5z = (3 + -6z) Solving 15 + 5z = 3 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 15 + 5z + 6z = 3 + -6z + 6z Combine like terms: 5z + 6z = 11z 15 + 11z = 3 + -6z + 6z Combine like terms: -6z + 6z = 0 15 + 11z = 3 + 0 15 + 11z = 3 Add '-15' to each side of the equation. 15 + -15 + 11z = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 11z = 3 + -15 11z = 3 + -15 Combine like terms: 3 + -15 = -12 11z = -12 Divide each side by '11'. z = -1.090909091 Simplifying z = -1.090909091
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