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Simplifying 10(-3z + 2) + -4(-8z + 7) = 0 Reorder the terms: 10(2 + -3z) + -4(-8z + 7) = 0 (2 * 10 + -3z * 10) + -4(-8z + 7) = 0 (20 + -30z) + -4(-8z + 7) = 0 Reorder the terms: 20 + -30z + -4(7 + -8z) = 0 20 + -30z + (7 * -4 + -8z * -4) = 0 20 + -30z + (-28 + 32z) = 0 Reorder the terms: 20 + -28 + -30z + 32z = 0 Combine like terms: 20 + -28 = -8 -8 + -30z + 32z = 0 Combine like terms: -30z + 32z = 2z -8 + 2z = 0 Solving -8 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2z = 0 + 8 2z = 0 + 8 Combine like terms: 0 + 8 = 8 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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