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Simplifying 8(-6z + -5) + -7(1 + -5z) = 0 Reorder the terms: 8(-5 + -6z) + -7(1 + -5z) = 0 (-5 * 8 + -6z * 8) + -7(1 + -5z) = 0 (-40 + -48z) + -7(1 + -5z) = 0 -40 + -48z + (1 * -7 + -5z * -7) = 0 -40 + -48z + (-7 + 35z) = 0 Reorder the terms: -40 + -7 + -48z + 35z = 0 Combine like terms: -40 + -7 = -47 -47 + -48z + 35z = 0 Combine like terms: -48z + 35z = -13z -47 + -13z = 0 Solving -47 + -13z = 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 + -13z = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -13z = 0 + 47 -13z = 0 + 47 Combine like terms: 0 + 47 = 47 -13z = 47 Divide each side by '-13'. z = -3.615384615 Simplifying z = -3.615384615
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