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Simplifying -0.17(z + 6) = 0.4(z + -5) Reorder the terms: -0.17(6 + z) = 0.4(z + -5) (6 * -0.17 + z * -0.17) = 0.4(z + -5) (-1.02 + -0.17z) = 0.4(z + -5) Reorder the terms: -1.02 + -0.17z = 0.4(-5 + z) -1.02 + -0.17z = (-5 * 0.4 + z * 0.4) -1.02 + -0.17z = (-2 + 0.4z) Solving -1.02 + -0.17z = -2 + 0.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.4z' to each side of the equation. -1.02 + -0.17z + -0.4z = -2 + 0.4z + -0.4z Combine like terms: -0.17z + -0.4z = -0.57z -1.02 + -0.57z = -2 + 0.4z + -0.4z Combine like terms: 0.4z + -0.4z = 0.0 -1.02 + -0.57z = -2 + 0.0 -1.02 + -0.57z = -2 Add '1.02' to each side of the equation. -1.02 + 1.02 + -0.57z = -2 + 1.02 Combine like terms: -1.02 + 1.02 = 0.00 0.00 + -0.57z = -2 + 1.02 -0.57z = -2 + 1.02 Combine like terms: -2 + 1.02 = -0.98 -0.57z = -0.98 Divide each side by '-0.57'. z = 1.719298246 Simplifying z = 1.719298246
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