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Simplifying -0.11(z + 3) = -0.67(z + -0.67) Reorder the terms: -0.11(3 + z) = -0.67(z + -0.67) (3 * -0.11 + z * -0.11) = -0.67(z + -0.67) (-0.33 + -0.11z) = -0.67(z + -0.67) Reorder the terms: -0.33 + -0.11z = -0.67(-0.67 + z) -0.33 + -0.11z = (-0.67 * -0.67 + z * -0.67) -0.33 + -0.11z = (0.4489 + -0.67z) Solving -0.33 + -0.11z = 0.4489 + -0.67z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.67z' to each side of the equation. -0.33 + -0.11z + 0.67z = 0.4489 + -0.67z + 0.67z Combine like terms: -0.11z + 0.67z = 0.56z -0.33 + 0.56z = 0.4489 + -0.67z + 0.67z Combine like terms: -0.67z + 0.67z = 0.00 -0.33 + 0.56z = 0.4489 + 0.00 -0.33 + 0.56z = 0.4489 Add '0.33' to each side of the equation. -0.33 + 0.33 + 0.56z = 0.4489 + 0.33 Combine like terms: -0.33 + 0.33 = 0.00 0.00 + 0.56z = 0.4489 + 0.33 0.56z = 0.4489 + 0.33 Combine like terms: 0.4489 + 0.33 = 0.7789 0.56z = 0.7789 Divide each side by '0.56'. z = 1.390892857 Simplifying z = 1.390892857
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