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Simplifying (1 + -3(0.75 + -0.625z) + -1z) + 4(0.75 + -0.625z) + -1z = 2 (1 + (0.75 * -3 + -0.625z * -3) + -1z) + 4(0.75 + -0.625z) + -1z = 2 (1 + (-2.25 + 1.875z) + -1z) + 4(0.75 + -0.625z) + -1z = 2 Combine like terms: 1 + -2.25 = -1.25 (-1.25 + 1.875z + -1z) + 4(0.75 + -0.625z) + -1z = 2 Combine like terms: 1.875z + -1z = 0.875z (-1.25 + 0.875z) + 4(0.75 + -0.625z) + -1z = 2 Remove parenthesis around (-1.25 + 0.875z) -1.25 + 0.875z + 4(0.75 + -0.625z) + -1z = 2 -1.25 + 0.875z + (0.75 * 4 + -0.625z * 4) + -1z = 2 -1.25 + 0.875z + (3 + -2.5z) + -1z = 2 Reorder the terms: -1.25 + 3 + 0.875z + -2.5z + -1z = 2 Combine like terms: -1.25 + 3 = 1.75 1.75 + 0.875z + -2.5z + -1z = 2 Combine like terms: 0.875z + -2.5z = -1.625z 1.75 + -1.625z + -1z = 2 Combine like terms: -1.625z + -1z = -2.625z 1.75 + -2.625z = 2 Solving 1.75 + -2.625z = 2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + -2.625z = 2 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -2.625z = 2 + -1.75 -2.625z = 2 + -1.75 Combine like terms: 2 + -1.75 = 0.25 -2.625z = 0.25 Divide each side by '-2.625'. z = -0.09523809524 Simplifying z = -0.09523809524
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