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Simplifying z + 6 = -1(4z + 10) Reorder the terms: 6 + z = -1(4z + 10) Reorder the terms: 6 + z = -1(10 + 4z) 6 + z = (10 * -1 + 4z * -1) 6 + z = (-10 + -4z) Solving 6 + z = -10 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 6 + z + 4z = -10 + -4z + 4z Combine like terms: z + 4z = 5z 6 + 5z = -10 + -4z + 4z Combine like terms: -4z + 4z = 0 6 + 5z = -10 + 0 6 + 5z = -10 Add '-6' to each side of the equation. 6 + -6 + 5z = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 5z = -10 + -6 5z = -10 + -6 Combine like terms: -10 + -6 = -16 5z = -16 Divide each side by '5'. z = -3.2 Simplifying z = -3.2
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