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Simplifying -4(6.5z + -7) = -15.5 + -6z Reorder the terms: -4(-7 + 6.5z) = -15.5 + -6z (-7 * -4 + 6.5z * -4) = -15.5 + -6z (28 + -26z) = -15.5 + -6z Solving 28 + -26z = -15.5 + -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. 28 + -26z + 6z = -15.5 + -6z + 6z Combine like terms: -26z + 6z = -20z 28 + -20z = -15.5 + -6z + 6z Combine like terms: -6z + 6z = 0 28 + -20z = -15.5 + 0 28 + -20z = -15.5 Add '-28' to each side of the equation. 28 + -28 + -20z = -15.5 + -28 Combine like terms: 28 + -28 = 0 0 + -20z = -15.5 + -28 -20z = -15.5 + -28 Combine like terms: -15.5 + -28 = -43.5 -20z = -43.5 Divide each side by '-20'. z = 2.175 Simplifying z = 2.175
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