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Simplifying 4(z + -5) + -6 = 3(z + -5) + 12 Reorder the terms: 4(-5 + z) + -6 = 3(z + -5) + 12 (-5 * 4 + z * 4) + -6 = 3(z + -5) + 12 (-20 + 4z) + -6 = 3(z + -5) + 12 Reorder the terms: -20 + -6 + 4z = 3(z + -5) + 12 Combine like terms: -20 + -6 = -26 -26 + 4z = 3(z + -5) + 12 Reorder the terms: -26 + 4z = 3(-5 + z) + 12 -26 + 4z = (-5 * 3 + z * 3) + 12 -26 + 4z = (-15 + 3z) + 12 Reorder the terms: -26 + 4z = -15 + 12 + 3z Combine like terms: -15 + 12 = -3 -26 + 4z = -3 + 3z Solving -26 + 4z = -3 + 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. -26 + 4z + -3z = -3 + 3z + -3z Combine like terms: 4z + -3z = 1z -26 + 1z = -3 + 3z + -3z Combine like terms: 3z + -3z = 0 -26 + 1z = -3 + 0 -26 + 1z = -3 Add '26' to each side of the equation. -26 + 26 + 1z = -3 + 26 Combine like terms: -26 + 26 = 0 0 + 1z = -3 + 26 1z = -3 + 26 Combine like terms: -3 + 26 = 23 1z = 23 Divide each side by '1'. z = 23 Simplifying z = 23
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