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Simplifying 2.8(z + -1) = 0.8(z + -1.5) Reorder the terms: 2.8(-1 + z) = 0.8(z + -1.5) (-1 * 2.8 + z * 2.8) = 0.8(z + -1.5) (-2.8 + 2.8z) = 0.8(z + -1.5) Reorder the terms: -2.8 + 2.8z = 0.8(-1.5 + z) -2.8 + 2.8z = (-1.5 * 0.8 + z * 0.8) -2.8 + 2.8z = (-1.2 + 0.8z) Solving -2.8 + 2.8z = -1.2 + 0.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.8z' to each side of the equation. -2.8 + 2.8z + -0.8z = -1.2 + 0.8z + -0.8z Combine like terms: 2.8z + -0.8z = 2z -2.8 + 2z = -1.2 + 0.8z + -0.8z Combine like terms: 0.8z + -0.8z = 0.0 -2.8 + 2z = -1.2 + 0.0 -2.8 + 2z = -1.2 Add '2.8' to each side of the equation. -2.8 + 2.8 + 2z = -1.2 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 2z = -1.2 + 2.8 2z = -1.2 + 2.8 Combine like terms: -1.2 + 2.8 = 1.6 2z = 1.6 Divide each side by '2'. z = 0.8 Simplifying z = 0.8
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