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Simplifying -5(3z + 4) + -1z + -27 = 0 Reorder the terms: -5(4 + 3z) + -1z + -27 = 0 (4 * -5 + 3z * -5) + -1z + -27 = 0 (-20 + -15z) + -1z + -27 = 0 Reorder the terms: -20 + -27 + -15z + -1z = 0 Combine like terms: -20 + -27 = -47 -47 + -15z + -1z = 0 Combine like terms: -15z + -1z = -16z -47 + -16z = 0 Solving -47 + -16z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -16z = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -16z = 0 + 47 -16z = 0 + 47 Combine like terms: 0 + 47 = 47 -16z = 47 Divide each side by '-16'. z = -2.9375 Simplifying z = -2.9375
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