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Simplifying 4(z + -2) = z + 10 Reorder the terms: 4(-2 + z) = z + 10 (-2 * 4 + z * 4) = z + 10 (-8 + 4z) = z + 10 Reorder the terms: -8 + 4z = 10 + z Solving -8 + 4z = 10 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -8 + 4z + -1z = 10 + z + -1z Combine like terms: 4z + -1z = 3z -8 + 3z = 10 + z + -1z Combine like terms: z + -1z = 0 -8 + 3z = 10 + 0 -8 + 3z = 10 Add '8' to each side of the equation. -8 + 8 + 3z = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3z = 10 + 8 3z = 10 + 8 Combine like terms: 10 + 8 = 18 3z = 18 Divide each side by '3'. z = 6 Simplifying z = 6
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