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Simplifying 4(z + -3) + -1(5 + -3z) = 3(2z + -4) Reorder the terms: 4(-3 + z) + -1(5 + -3z) = 3(2z + -4) (-3 * 4 + z * 4) + -1(5 + -3z) = 3(2z + -4) (-12 + 4z) + -1(5 + -3z) = 3(2z + -4) -12 + 4z + (5 * -1 + -3z * -1) = 3(2z + -4) -12 + 4z + (-5 + 3z) = 3(2z + -4) Reorder the terms: -12 + -5 + 4z + 3z = 3(2z + -4) Combine like terms: -12 + -5 = -17 -17 + 4z + 3z = 3(2z + -4) Combine like terms: 4z + 3z = 7z -17 + 7z = 3(2z + -4) Reorder the terms: -17 + 7z = 3(-4 + 2z) -17 + 7z = (-4 * 3 + 2z * 3) -17 + 7z = (-12 + 6z) Solving -17 + 7z = -12 + 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. -17 + 7z + -6z = -12 + 6z + -6z Combine like terms: 7z + -6z = 1z -17 + 1z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 -17 + 1z = -12 + 0 -17 + 1z = -12 Add '17' to each side of the equation. -17 + 17 + 1z = -12 + 17 Combine like terms: -17 + 17 = 0 0 + 1z = -12 + 17 1z = -12 + 17 Combine like terms: -12 + 17 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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