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Simplifying 5(2z + -1) + -2(z + 4) = 3(2 + 1) Reorder the terms: 5(-1 + 2z) + -2(z + 4) = 3(2 + 1) (-1 * 5 + 2z * 5) + -2(z + 4) = 3(2 + 1) (-5 + 10z) + -2(z + 4) = 3(2 + 1) Reorder the terms: -5 + 10z + -2(4 + z) = 3(2 + 1) -5 + 10z + (4 * -2 + z * -2) = 3(2 + 1) -5 + 10z + (-8 + -2z) = 3(2 + 1) Reorder the terms: -5 + -8 + 10z + -2z = 3(2 + 1) Combine like terms: -5 + -8 = -13 -13 + 10z + -2z = 3(2 + 1) Combine like terms: 10z + -2z = 8z -13 + 8z = 3(2 + 1) Combine like terms: 2 + 1 = 3 -13 + 8z = 3(3) Multiply 3 * 3 -13 + 8z = 9 Solving -13 + 8z = 9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8z = 9 + 13 Combine like terms: -13 + 13 = 0 0 + 8z = 9 + 13 8z = 9 + 13 Combine like terms: 9 + 13 = 22 8z = 22 Divide each side by '8'. z = 2.75 Simplifying z = 2.75
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