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Simplifying 5(2z + -1) + -5(2 + 5) = 3(2 + 1) Reorder the terms: 5(-1 + 2z) + -5(2 + 5) = 3(2 + 1) (-1 * 5 + 2z * 5) + -5(2 + 5) = 3(2 + 1) (-5 + 10z) + -5(2 + 5) = 3(2 + 1) Combine like terms: 2 + 5 = 7 -5 + 10z + -5(7) = 3(2 + 1) Multiply -5 * 7 -5 + 10z + -35 = 3(2 + 1) Reorder the terms: -5 + -35 + 10z = 3(2 + 1) Combine like terms: -5 + -35 = -40 -40 + 10z = 3(2 + 1) Combine like terms: 2 + 1 = 3 -40 + 10z = 3(3) Multiply 3 * 3 -40 + 10z = 9 Solving -40 + 10z = 9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 10z = 9 + 40 Combine like terms: -40 + 40 = 0 0 + 10z = 9 + 40 10z = 9 + 40 Combine like terms: 9 + 40 = 49 10z = 49 Divide each side by '10'. z = 4.9 Simplifying z = 4.9
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