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Simplifying 8(3z + -4) + 5.12(z + -2) = -8 Reorder the terms: 8(-4 + 3z) + 5.12(z + -2) = -8 (-4 * 8 + 3z * 8) + 5.12(z + -2) = -8 (-32 + 24z) + 5.12(z + -2) = -8 Reorder the terms: -32 + 24z + 5.12(-2 + z) = -8 -32 + 24z + (-2 * 5.12 + z * 5.12) = -8 -32 + 24z + (-10.24 + 5.12z) = -8 Reorder the terms: -32 + -10.24 + 24z + 5.12z = -8 Combine like terms: -32 + -10.24 = -42.24 -42.24 + 24z + 5.12z = -8 Combine like terms: 24z + 5.12z = 29.12z -42.24 + 29.12z = -8 Solving -42.24 + 29.12z = -8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '42.24' to each side of the equation. -42.24 + 42.24 + 29.12z = -8 + 42.24 Combine like terms: -42.24 + 42.24 = 0.00 0.00 + 29.12z = -8 + 42.24 29.12z = -8 + 42.24 Combine like terms: -8 + 42.24 = 34.24 29.12z = 34.24 Divide each side by '29.12'. z = 1.175824176 Simplifying z = 1.175824176
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