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Simplifying 8 + -4w = 0.3(6w + -12) Reorder the terms: 8 + -4w = 0.3(-12 + 6w) 8 + -4w = (-12 * 0.3 + 6w * 0.3) 8 + -4w = (-3.6 + 1.8w) Solving 8 + -4w = -3.6 + 1.8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.8w' to each side of the equation. 8 + -4w + -1.8w = -3.6 + 1.8w + -1.8w Combine like terms: -4w + -1.8w = -5.8w 8 + -5.8w = -3.6 + 1.8w + -1.8w Combine like terms: 1.8w + -1.8w = 0.0 8 + -5.8w = -3.6 + 0.0 8 + -5.8w = -3.6 Add '-8' to each side of the equation. 8 + -8 + -5.8w = -3.6 + -8 Combine like terms: 8 + -8 = 0 0 + -5.8w = -3.6 + -8 -5.8w = -3.6 + -8 Combine like terms: -3.6 + -8 = -11.6 -5.8w = -11.6 Divide each side by '-5.8'. w = 2 Simplifying w = 2
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