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Simplifying 3(z + -4) + -4 = 4(z + -8) Reorder the terms: 3(-4 + z) + -4 = 4(z + -8) (-4 * 3 + z * 3) + -4 = 4(z + -8) (-12 + 3z) + -4 = 4(z + -8) Reorder the terms: -12 + -4 + 3z = 4(z + -8) Combine like terms: -12 + -4 = -16 -16 + 3z = 4(z + -8) Reorder the terms: -16 + 3z = 4(-8 + z) -16 + 3z = (-8 * 4 + z * 4) -16 + 3z = (-32 + 4z) Solving -16 + 3z = -32 + 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. -16 + 3z + -4z = -32 + 4z + -4z Combine like terms: 3z + -4z = -1z -16 + -1z = -32 + 4z + -4z Combine like terms: 4z + -4z = 0 -16 + -1z = -32 + 0 -16 + -1z = -32 Add '16' to each side of the equation. -16 + 16 + -1z = -32 + 16 Combine like terms: -16 + 16 = 0 0 + -1z = -32 + 16 -1z = -32 + 16 Combine like terms: -32 + 16 = -16 -1z = -16 Divide each side by '-1'. z = 16 Simplifying z = 16
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