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Simplifying (9 * 0.11111111 + 0.44444444w) + 2 = 4w + 3 Multiply 9 * 0.11111111 (0.99999999 + 0.44444444w) + 2 = 4w + 3 Remove parenthesis around (0.99999999 + 0.44444444w) 0.99999999 + 0.44444444w + 2 = 4w + 3 Reorder the terms: 0.99999999 + 2 + 0.44444444w = 4w + 3 Combine like terms: 0.99999999 + 2 = 2.99999999 2.99999999 + 0.44444444w = 4w + 3 Reorder the terms: 2.99999999 + 0.44444444w = 3 + 4w Solving 2.99999999 + 0.44444444w = 3 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 2.99999999 + 0.44444444w + -4w = 3 + 4w + -4w Combine like terms: 0.44444444w + -4w = -3.55555556w 2.99999999 + -3.55555556w = 3 + 4w + -4w Combine like terms: 4w + -4w = 0 2.99999999 + -3.55555556w = 3 + 0 2.99999999 + -3.55555556w = 3 Add '-2.99999999' to each side of the equation. 2.99999999 + -2.99999999 + -3.55555556w = 3 + -2.99999999 Combine like terms: 2.99999999 + -2.99999999 = 0.00000000 0.00000000 + -3.55555556w = 3 + -2.99999999 -3.55555556w = 3 + -2.99999999 Combine like terms: 3 + -2.99999999 = 0.00000001 -3.55555556w = 0.00000001 Divide each side by '-3.55555556'. w = -0.000000002812499996 Simplifying w = -0.000000002812499996
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