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Simplifying 0.8(z + -15) = -0.8(z + -1) Reorder the terms: 0.8(-15 + z) = -0.8(z + -1) (-15 * 0.8 + z * 0.8) = -0.8(z + -1) (-12 + 0.8z) = -0.8(z + -1) Reorder the terms: -12 + 0.8z = -0.8(-1 + z) -12 + 0.8z = (-1 * -0.8 + z * -0.8) -12 + 0.8z = (0.8 + -0.8z) Solving -12 + 0.8z = 0.8 + -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. -12 + 0.8z + 0.8z = 0.8 + -0.8z + 0.8z Combine like terms: 0.8z + 0.8z = 1.6z -12 + 1.6z = 0.8 + -0.8z + 0.8z Combine like terms: -0.8z + 0.8z = 0.0 -12 + 1.6z = 0.8 + 0.0 -12 + 1.6z = 0.8 Add '12' to each side of the equation. -12 + 12 + 1.6z = 0.8 + 12 Combine like terms: -12 + 12 = 0 0 + 1.6z = 0.8 + 12 1.6z = 0.8 + 12 Combine like terms: 0.8 + 12 = 12.8 1.6z = 12.8 Divide each side by '1.6'. z = 8 Simplifying z = 8
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