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Simplifying -5(3z + 2) + -1z + -11 = 0 Reorder the terms: -5(2 + 3z) + -1z + -11 = 0 (2 * -5 + 3z * -5) + -1z + -11 = 0 (-10 + -15z) + -1z + -11 = 0 Reorder the terms: -10 + -11 + -15z + -1z = 0 Combine like terms: -10 + -11 = -21 -21 + -15z + -1z = 0 Combine like terms: -15z + -1z = -16z -21 + -16z = 0 Solving -21 + -16z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -16z = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -16z = 0 + 21 -16z = 0 + 21 Combine like terms: 0 + 21 = 21 -16z = 21 Divide each side by '-16'. z = -1.3125 Simplifying z = -1.3125
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