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Simplifying -3(6z + -1) + -4(z + 3) = 4(z + 1) Reorder the terms: -3(-1 + 6z) + -4(z + 3) = 4(z + 1) (-1 * -3 + 6z * -3) + -4(z + 3) = 4(z + 1) (3 + -18z) + -4(z + 3) = 4(z + 1) Reorder the terms: 3 + -18z + -4(3 + z) = 4(z + 1) 3 + -18z + (3 * -4 + z * -4) = 4(z + 1) 3 + -18z + (-12 + -4z) = 4(z + 1) Reorder the terms: 3 + -12 + -18z + -4z = 4(z + 1) Combine like terms: 3 + -12 = -9 -9 + -18z + -4z = 4(z + 1) Combine like terms: -18z + -4z = -22z -9 + -22z = 4(z + 1) Reorder the terms: -9 + -22z = 4(1 + z) -9 + -22z = (1 * 4 + z * 4) -9 + -22z = (4 + 4z) Solving -9 + -22z = 4 + 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. -9 + -22z + -4z = 4 + 4z + -4z Combine like terms: -22z + -4z = -26z -9 + -26z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 -9 + -26z = 4 + 0 -9 + -26z = 4 Add '9' to each side of the equation. -9 + 9 + -26z = 4 + 9 Combine like terms: -9 + 9 = 0 0 + -26z = 4 + 9 -26z = 4 + 9 Combine like terms: 4 + 9 = 13 -26z = 13 Divide each side by '-26'. z = -0.5 Simplifying z = -0.5
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