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Simplifying z + -4(z + 2) = 3(z + -4) + -2z Reorder the terms: z + -4(2 + z) = 3(z + -4) + -2z z + (2 * -4 + z * -4) = 3(z + -4) + -2z z + (-8 + -4z) = 3(z + -4) + -2z Reorder the terms: -8 + z + -4z = 3(z + -4) + -2z Combine like terms: z + -4z = -3z -8 + -3z = 3(z + -4) + -2z Reorder the terms: -8 + -3z = 3(-4 + z) + -2z -8 + -3z = (-4 * 3 + z * 3) + -2z -8 + -3z = (-12 + 3z) + -2z Combine like terms: 3z + -2z = 1z -8 + -3z = -12 + 1z Solving -8 + -3z = -12 + 1z 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 + -3z + -1z = -12 + 1z + -1z Combine like terms: -3z + -1z = -4z -8 + -4z = -12 + 1z + -1z Combine like terms: 1z + -1z = 0 -8 + -4z = -12 + 0 -8 + -4z = -12 Add '8' to each side of the equation. -8 + 8 + -4z = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -4z = -12 + 8 -4z = -12 + 8 Combine like terms: -12 + 8 = -4 -4z = -4 Divide each side by '-4'. z = 1 Simplifying z = 1
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