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Simplifying -3(-1z + -1) + -5(3z + -5) = 2z + 13 + -4z Reorder the terms: -3(-1 + -1z) + -5(3z + -5) = 2z + 13 + -4z (-1 * -3 + -1z * -3) + -5(3z + -5) = 2z + 13 + -4z (3 + 3z) + -5(3z + -5) = 2z + 13 + -4z Reorder the terms: 3 + 3z + -5(-5 + 3z) = 2z + 13 + -4z 3 + 3z + (-5 * -5 + 3z * -5) = 2z + 13 + -4z 3 + 3z + (25 + -15z) = 2z + 13 + -4z Reorder the terms: 3 + 25 + 3z + -15z = 2z + 13 + -4z Combine like terms: 3 + 25 = 28 28 + 3z + -15z = 2z + 13 + -4z Combine like terms: 3z + -15z = -12z 28 + -12z = 2z + 13 + -4z Reorder the terms: 28 + -12z = 13 + 2z + -4z Combine like terms: 2z + -4z = -2z 28 + -12z = 13 + -2z Solving 28 + -12z = 13 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 28 + -12z + 2z = 13 + -2z + 2z Combine like terms: -12z + 2z = -10z 28 + -10z = 13 + -2z + 2z Combine like terms: -2z + 2z = 0 28 + -10z = 13 + 0 28 + -10z = 13 Add '-28' to each side of the equation. 28 + -28 + -10z = 13 + -28 Combine like terms: 28 + -28 = 0 0 + -10z = 13 + -28 -10z = 13 + -28 Combine like terms: 13 + -28 = -15 -10z = -15 Divide each side by '-10'. z = 1.5 Simplifying z = 1.5
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