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Simplifying z + 0.1z + 4.6 = (z + 1.5) Reorder the terms: 4.6 + z + 0.1z = (z + 1.5) Combine like terms: z + 0.1z = 1.1z 4.6 + 1.1z = (z + 1.5) Reorder the terms: 4.6 + 1.1z = (1.5 + z) Remove parenthesis around (1.5 + z) 4.6 + 1.1z = 1.5 + z Solving 4.6 + 1.1z = 1.5 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 4.6 + 1.1z + -1z = 1.5 + z + -1z Combine like terms: 1.1z + -1z = 0.1z 4.6 + 0.1z = 1.5 + z + -1z Combine like terms: z + -1z = 0 4.6 + 0.1z = 1.5 + 0 4.6 + 0.1z = 1.5 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.1z = 1.5 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.1z = 1.5 + -4.6 0.1z = 1.5 + -4.6 Combine like terms: 1.5 + -4.6 = -3.1 0.1z = -3.1 Divide each side by '0.1'. z = -31 Simplifying z = -31
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