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Simplifying 3(z + -2) + -4 = 4(z + -6) Reorder the terms: 3(-2 + z) + -4 = 4(z + -6) (-2 * 3 + z * 3) + -4 = 4(z + -6) (-6 + 3z) + -4 = 4(z + -6) Reorder the terms: -6 + -4 + 3z = 4(z + -6) Combine like terms: -6 + -4 = -10 -10 + 3z = 4(z + -6) Reorder the terms: -10 + 3z = 4(-6 + z) -10 + 3z = (-6 * 4 + z * 4) -10 + 3z = (-24 + 4z) Solving -10 + 3z = -24 + 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. -10 + 3z + -4z = -24 + 4z + -4z Combine like terms: 3z + -4z = -1z -10 + -1z = -24 + 4z + -4z Combine like terms: 4z + -4z = 0 -10 + -1z = -24 + 0 -10 + -1z = -24 Add '10' to each side of the equation. -10 + 10 + -1z = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -1z = -24 + 10 -1z = -24 + 10 Combine like terms: -24 + 10 = -14 -1z = -14 Divide each side by '-1'. z = 14 Simplifying z = 14
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