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Simplifying 4(z + 1) + -0.7z = -0.1z + 0.7 + -0.2z + -0.3 Reorder the terms: 4(1 + z) + -0.7z = -0.1z + 0.7 + -0.2z + -0.3 (1 * 4 + z * 4) + -0.7z = -0.1z + 0.7 + -0.2z + -0.3 (4 + 4z) + -0.7z = -0.1z + 0.7 + -0.2z + -0.3 Combine like terms: 4z + -0.7z = 3.3z 4 + 3.3z = -0.1z + 0.7 + -0.2z + -0.3 Reorder the terms: 4 + 3.3z = 0.7 + -0.3 + -0.1z + -0.2z Combine like terms: 0.7 + -0.3 = 0.4 4 + 3.3z = 0.4 + -0.1z + -0.2z Combine like terms: -0.1z + -0.2z = -0.3z 4 + 3.3z = 0.4 + -0.3z Solving 4 + 3.3z = 0.4 + -0.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.3z' to each side of the equation. 4 + 3.3z + 0.3z = 0.4 + -0.3z + 0.3z Combine like terms: 3.3z + 0.3z = 3.6z 4 + 3.6z = 0.4 + -0.3z + 0.3z Combine like terms: -0.3z + 0.3z = 0.0 4 + 3.6z = 0.4 + 0.0 4 + 3.6z = 0.4 Add '-4' to each side of the equation. 4 + -4 + 3.6z = 0.4 + -4 Combine like terms: 4 + -4 = 0 0 + 3.6z = 0.4 + -4 3.6z = 0.4 + -4 Combine like terms: 0.4 + -4 = -3.6 3.6z = -3.6 Divide each side by '3.6'. z = -1 Simplifying z = -1
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