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Simplifying 8 + -4w = 1.3(6w + -12) Reorder the terms: 8 + -4w = 1.3(-12 + 6w) 8 + -4w = (-12 * 1.3 + 6w * 1.3) 8 + -4w = (-15.6 + 7.8w) Solving 8 + -4w = -15.6 + 7.8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7.8w' to each side of the equation. 8 + -4w + -7.8w = -15.6 + 7.8w + -7.8w Combine like terms: -4w + -7.8w = -11.8w 8 + -11.8w = -15.6 + 7.8w + -7.8w Combine like terms: 7.8w + -7.8w = 0.0 8 + -11.8w = -15.6 + 0.0 8 + -11.8w = -15.6 Add '-8' to each side of the equation. 8 + -8 + -11.8w = -15.6 + -8 Combine like terms: 8 + -8 = 0 0 + -11.8w = -15.6 + -8 -11.8w = -15.6 + -8 Combine like terms: -15.6 + -8 = -23.6 -11.8w = -23.6 Divide each side by '-11.8'. w = 2 Simplifying w = 2
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