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Simplifying -0.5(7z + 4) + 0.2(5z + -15) = 0 Reorder the terms: -0.5(4 + 7z) + 0.2(5z + -15) = 0 (4 * -0.5 + 7z * -0.5) + 0.2(5z + -15) = 0 (-2 + -3.5z) + 0.2(5z + -15) = 0 Reorder the terms: -2 + -3.5z + 0.2(-15 + 5z) = 0 -2 + -3.5z + (-15 * 0.2 + 5z * 0.2) = 0 -2 + -3.5z + (-3 + 1z) = 0 Reorder the terms: -2 + -3 + -3.5z + 1z = 0 Combine like terms: -2 + -3 = -5 -5 + -3.5z + 1z = 0 Combine like terms: -3.5z + 1z = -2.5z -5 + -2.5z = 0 Solving -5 + -2.5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2.5z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2.5z = 0 + 5 -2.5z = 0 + 5 Combine like terms: 0 + 5 = 5 -2.5z = 5 Divide each side by '-2.5'. z = -2 Simplifying z = -2
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