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Simplifying 4(z + -3) = 2(3z + -5) Reorder the terms: 4(-3 + z) = 2(3z + -5) (-3 * 4 + z * 4) = 2(3z + -5) (-12 + 4z) = 2(3z + -5) Reorder the terms: -12 + 4z = 2(-5 + 3z) -12 + 4z = (-5 * 2 + 3z * 2) -12 + 4z = (-10 + 6z) Solving -12 + 4z = -10 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -12 + 4z + -6z = -10 + 6z + -6z Combine like terms: 4z + -6z = -2z -12 + -2z = -10 + 6z + -6z Combine like terms: 6z + -6z = 0 -12 + -2z = -10 + 0 -12 + -2z = -10 Add '12' to each side of the equation. -12 + 12 + -2z = -10 + 12 Combine like terms: -12 + 12 = 0 0 + -2z = -10 + 12 -2z = -10 + 12 Combine like terms: -10 + 12 = 2 -2z = 2 Divide each side by '-2'. z = -1 Simplifying z = -1
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