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Simplifying 3(z + -2) + -2 = 4(z + -4) Reorder the terms: 3(-2 + z) + -2 = 4(z + -4) (-2 * 3 + z * 3) + -2 = 4(z + -4) (-6 + 3z) + -2 = 4(z + -4) Reorder the terms: -6 + -2 + 3z = 4(z + -4) Combine like terms: -6 + -2 = -8 -8 + 3z = 4(z + -4) Reorder the terms: -8 + 3z = 4(-4 + z) -8 + 3z = (-4 * 4 + z * 4) -8 + 3z = (-16 + 4z) Solving -8 + 3z = -16 + 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. -8 + 3z + -4z = -16 + 4z + -4z Combine like terms: 3z + -4z = -1z -8 + -1z = -16 + 4z + -4z Combine like terms: 4z + -4z = 0 -8 + -1z = -16 + 0 -8 + -1z = -16 Add '8' to each side of the equation. -8 + 8 + -1z = -16 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = -16 + 8 -1z = -16 + 8 Combine like terms: -16 + 8 = -8 -1z = -8 Divide each side by '-1'. z = 8 Simplifying z = 8
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