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Simplifying 5(2z + -1) + -2(2 + 6) = 6(2 + 1) Reorder the terms: 5(-1 + 2z) + -2(2 + 6) = 6(2 + 1) (-1 * 5 + 2z * 5) + -2(2 + 6) = 6(2 + 1) (-5 + 10z) + -2(2 + 6) = 6(2 + 1) Combine like terms: 2 + 6 = 8 -5 + 10z + -2(8) = 6(2 + 1) Multiply -2 * 8 -5 + 10z + -16 = 6(2 + 1) Reorder the terms: -5 + -16 + 10z = 6(2 + 1) Combine like terms: -5 + -16 = -21 -21 + 10z = 6(2 + 1) Combine like terms: 2 + 1 = 3 -21 + 10z = 6(3) Multiply 6 * 3 -21 + 10z = 18 Solving -21 + 10z = 18 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 10z = 18 + 21 Combine like terms: -21 + 21 = 0 0 + 10z = 18 + 21 10z = 18 + 21 Combine like terms: 18 + 21 = 39 10z = 39 Divide each side by '10'. z = 3.9 Simplifying z = 3.9
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