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Simplifying 15 + -1(4z + 3) = 12 + z Reorder the terms: 15 + -1(3 + 4z) = 12 + z 15 + (3 * -1 + 4z * -1) = 12 + z 15 + (-3 + -4z) = 12 + z Combine like terms: 15 + -3 = 12 12 + -4z = 12 + z Add '-12' to each side of the equation. 12 + -12 + -4z = 12 + -12 + z Combine like terms: 12 + -12 = 0 0 + -4z = 12 + -12 + z -4z = 12 + -12 + z Combine like terms: 12 + -12 = 0 -4z = 0 + z -4z = z Solving -4z = 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. -4z + -1z = z + -1z Combine like terms: -4z + -1z = -5z -5z = z + -1z Combine like terms: z + -1z = 0 -5z = 0 Divide each side by '-5'. z = 0 Simplifying z = 0
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