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Simplifying -10(z + 3) + 5(3z + -6) = 4(2 + -4) + 10 Reorder the terms: -10(3 + z) + 5(3z + -6) = 4(2 + -4) + 10 (3 * -10 + z * -10) + 5(3z + -6) = 4(2 + -4) + 10 (-30 + -10z) + 5(3z + -6) = 4(2 + -4) + 10 Reorder the terms: -30 + -10z + 5(-6 + 3z) = 4(2 + -4) + 10 -30 + -10z + (-6 * 5 + 3z * 5) = 4(2 + -4) + 10 -30 + -10z + (-30 + 15z) = 4(2 + -4) + 10 Reorder the terms: -30 + -30 + -10z + 15z = 4(2 + -4) + 10 Combine like terms: -30 + -30 = -60 -60 + -10z + 15z = 4(2 + -4) + 10 Combine like terms: -10z + 15z = 5z -60 + 5z = 4(2 + -4) + 10 Combine like terms: 2 + -4 = -2 -60 + 5z = 4(-2) + 10 Multiply 4 * -2 -60 + 5z = -8 + 10 Combine like terms: -8 + 10 = 2 -60 + 5z = 2 Solving -60 + 5z = 2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 5z = 2 + 60 Combine like terms: -60 + 60 = 0 0 + 5z = 2 + 60 5z = 2 + 60 Combine like terms: 2 + 60 = 62 5z = 62 Divide each side by '5'. z = 12.4 Simplifying z = 12.4
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