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Simplifying -0.3 + -3.2z = -1(3z + 1) Reorder the terms: -0.3 + -3.2z = -1(1 + 3z) -0.3 + -3.2z = (1 * -1 + 3z * -1) -0.3 + -3.2z = (-1 + -3z) Solving -0.3 + -3.2z = -1 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -0.3 + -3.2z + 3z = -1 + -3z + 3z Combine like terms: -3.2z + 3z = -0.2z -0.3 + -0.2z = -1 + -3z + 3z Combine like terms: -3z + 3z = 0 -0.3 + -0.2z = -1 + 0 -0.3 + -0.2z = -1 Add '0.3' to each side of the equation. -0.3 + 0.3 + -0.2z = -1 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + -0.2z = -1 + 0.3 -0.2z = -1 + 0.3 Combine like terms: -1 + 0.3 = -0.7 -0.2z = -0.7 Divide each side by '-0.2'. z = 3.5 Simplifying z = 3.5
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