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Simplifying 0.3(2 + 5) = -2.3(z + -1.5) Combine like terms: 2 + 5 = 7 0.3(7) = -2.3(z + -1.5) Multiply 0.3 * 7 2.1 = -2.3(z + -1.5) Reorder the terms: 2.1 = -2.3(-1.5 + z) 2.1 = (-1.5 * -2.3 + z * -2.3) 2.1 = (3.45 + -2.3z) Solving 2.1 = 3.45 + -2.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2.3z' to each side of the equation. 2.1 + 2.3z = 3.45 + -2.3z + 2.3z Combine like terms: -2.3z + 2.3z = 0.0 2.1 + 2.3z = 3.45 + 0.0 2.1 + 2.3z = 3.45 Add '-2.1' to each side of the equation. 2.1 + -2.1 + 2.3z = 3.45 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 2.3z = 3.45 + -2.1 2.3z = 3.45 + -2.1 Combine like terms: 3.45 + -2.1 = 1.35 2.3z = 1.35 Divide each side by '2.3'. z = 0.5869565217 Simplifying z = 0.5869565217
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