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Simplifying -0.8(z + 3) = 1.2(a + 15) Reorder the terms: -0.8(3 + z) = 1.2(a + 15) (3 * -0.8 + z * -0.8) = 1.2(a + 15) (-2.4 + -0.8z) = 1.2(a + 15) Reorder the terms: -2.4 + -0.8z = 1.2(15 + a) -2.4 + -0.8z = (15 * 1.2 + a * 1.2) -2.4 + -0.8z = (18 + 1.2a) Solving -2.4 + -0.8z = 18 + 1.2a Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2.4' to each side of the equation. -2.4 + 2.4 + -0.8z = 18 + 2.4 + 1.2a Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -0.8z = 18 + 2.4 + 1.2a -0.8z = 18 + 2.4 + 1.2a Combine like terms: 18 + 2.4 = 20.4 -0.8z = 20.4 + 1.2a Divide each side by '-0.8'. z = -25.5 + -1.5a Simplifying z = -25.5 + -1.5a
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