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Simplifying 5(z + -1z) + -4(z + -2) = 0 Combine like terms: z + -1z = 0 5(0) + -4(z + -2) = 0 Multiply 5 * 0 0 + -4(z + -2) = 0 Anything times zero is zero. 0 + -4(z + -2) = 0 Reorder the terms: 0 + -4(-2 + z) = 0 0 + (-2 * -4 + z * -4) = 0 0 + (8 + -4z) = 0 Combine like terms: 0 + 8 = 8 8 + -4z = 0 Solving 8 + -4z = 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 + -4z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4z = 0 + -8 -4z = 0 + -8 Combine like terms: 0 + -8 = -8 -4z = -8 Divide each side by '-4'. z = 2 Simplifying z = 2
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