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Simplifying -5(z + 3) + -1(-8z + -5) = 2z Reorder the terms: -5(3 + z) + -1(-8z + -5) = 2z (3 * -5 + z * -5) + -1(-8z + -5) = 2z (-15 + -5z) + -1(-8z + -5) = 2z Reorder the terms: -15 + -5z + -1(-5 + -8z) = 2z -15 + -5z + (-5 * -1 + -8z * -1) = 2z -15 + -5z + (5 + 8z) = 2z Reorder the terms: -15 + 5 + -5z + 8z = 2z Combine like terms: -15 + 5 = -10 -10 + -5z + 8z = 2z Combine like terms: -5z + 8z = 3z -10 + 3z = 2z Solving -10 + 3z = 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. -10 + 3z + -2z = 2z + -2z Combine like terms: 3z + -2z = 1z -10 + 1z = 2z + -2z Combine like terms: 2z + -2z = 0 -10 + 1z = 0 Add '10' to each side of the equation. -10 + 10 + 1z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1z = 0 + 10 1z = 0 + 10 Combine like terms: 0 + 10 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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