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Simplifying -2.8(5z + -7) + -1.2z = 0 Reorder the terms: -2.8(-7 + 5z) + -1.2z = 0 (-7 * -2.8 + 5z * -2.8) + -1.2z = 0 (19.6 + -14z) + -1.2z = 0 Combine like terms: -14z + -1.2z = -15.2z 19.6 + -15.2z = 0 Solving 19.6 + -15.2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-19.6' to each side of the equation. 19.6 + -19.6 + -15.2z = 0 + -19.6 Combine like terms: 19.6 + -19.6 = 0.0 0.0 + -15.2z = 0 + -19.6 -15.2z = 0 + -19.6 Combine like terms: 0 + -19.6 = -19.6 -15.2z = -19.6 Divide each side by '-15.2'. z = 1.289473684 Simplifying z = 1.289473684
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