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Simplifying -6(2z + 1) + -1z + -28 = 0 Reorder the terms: -6(1 + 2z) + -1z + -28 = 0 (1 * -6 + 2z * -6) + -1z + -28 = 0 (-6 + -12z) + -1z + -28 = 0 Reorder the terms: -6 + -28 + -12z + -1z = 0 Combine like terms: -6 + -28 = -34 -34 + -12z + -1z = 0 Combine like terms: -12z + -1z = -13z -34 + -13z = 0 Solving -34 + -13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -13z = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -13z = 0 + 34 -13z = 0 + 34 Combine like terms: 0 + 34 = 34 -13z = 34 Divide each side by '-13'. z = -2.615384615 Simplifying z = -2.615384615
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