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Simplifying 5w + -1(x + 3) = 0.333333333(9w + 18) + -5 Reorder the terms: 5w + -1(3 + x) = 0.333333333(9w + 18) + -5 5w + (3 * -1 + x * -1) = 0.333333333(9w + 18) + -5 5w + (-3 + -1x) = 0.333333333(9w + 18) + -5 Reorder the terms: -3 + 5w + -1x = 0.333333333(9w + 18) + -5 Reorder the terms: -3 + 5w + -1x = 0.333333333(18 + 9w) + -5 -3 + 5w + -1x = (18 * 0.333333333 + 9w * 0.333333333) + -5 -3 + 5w + -1x = (5.999999994 + 2.999999997w) + -5 Reorder the terms: -3 + 5w + -1x = 5.999999994 + -5 + 2.999999997w Combine like terms: 5.999999994 + -5 = 0.999999994 -3 + 5w + -1x = 0.999999994 + 2.999999997w Solving -3 + 5w + -1x = 0.999999994 + 2.999999997w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.999999997w' to each side of the equation. -3 + 5w + -2.999999997w + -1x = 0.999999994 + 2.999999997w + -2.999999997w Combine like terms: 5w + -2.999999997w = 2.000000003w -3 + 2.000000003w + -1x = 0.999999994 + 2.999999997w + -2.999999997w Combine like terms: 2.999999997w + -2.999999997w = 0.000000000 -3 + 2.000000003w + -1x = 0.999999994 + 0.000000000 -3 + 2.000000003w + -1x = 0.999999994 Add '3' to each side of the equation. -3 + 2.000000003w + 3 + -1x = 0.999999994 + 3 Reorder the terms: -3 + 3 + 2.000000003w + -1x = 0.999999994 + 3 Combine like terms: -3 + 3 = 0 0 + 2.000000003w + -1x = 0.999999994 + 3 2.000000003w + -1x = 0.999999994 + 3 Combine like terms: 0.999999994 + 3 = 3.999999994 2.000000003w + -1x = 3.999999994 Add 'x' to each side of the equation. 2.000000003w + -1x + x = 3.999999994 + x Combine like terms: -1x + x = 0 2.000000003w + 0 = 3.999999994 + x 2.000000003w = 3.999999994 + x Divide each side by '2.000000003'. w = 1.999999994 + 0.4999999993x Simplifying w = 1.999999994 + 0.4999999993x
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