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Simplifying 2(2 + -4) = 3(z + -4) Combine like terms: 2 + -4 = -2 2(-2) = 3(z + -4) Multiply 2 * -2 -4 = 3(z + -4) Reorder the terms: -4 = 3(-4 + z) -4 = (-4 * 3 + z * 3) -4 = (-12 + 3z) Solving -4 = -12 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -4 + -3z = -12 + 3z + -3z Combine like terms: 3z + -3z = 0 -4 + -3z = -12 + 0 -4 + -3z = -12 Add '4' to each side of the equation. -4 + 4 + -3z = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -3z = -12 + 4 -3z = -12 + 4 Combine like terms: -12 + 4 = -8 -3z = -8 Divide each side by '-3'. z = 2.666666667 Simplifying z = 2.666666667
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