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Simplifying 4(w + -2) + -4 = -6(-3w + 4) + -6w Reorder the terms: 4(-2 + w) + -4 = -6(-3w + 4) + -6w (-2 * 4 + w * 4) + -4 = -6(-3w + 4) + -6w (-8 + 4w) + -4 = -6(-3w + 4) + -6w Reorder the terms: -8 + -4 + 4w = -6(-3w + 4) + -6w Combine like terms: -8 + -4 = -12 -12 + 4w = -6(-3w + 4) + -6w Reorder the terms: -12 + 4w = -6(4 + -3w) + -6w -12 + 4w = (4 * -6 + -3w * -6) + -6w -12 + 4w = (-24 + 18w) + -6w Combine like terms: 18w + -6w = 12w -12 + 4w = -24 + 12w Solving -12 + 4w = -24 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -12 + 4w + -12w = -24 + 12w + -12w Combine like terms: 4w + -12w = -8w -12 + -8w = -24 + 12w + -12w Combine like terms: 12w + -12w = 0 -12 + -8w = -24 + 0 -12 + -8w = -24 Add '12' to each side of the equation. -12 + 12 + -8w = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -8w = -24 + 12 -8w = -24 + 12 Combine like terms: -24 + 12 = -12 -8w = -12 Divide each side by '-8'. w = 1.5 Simplifying w = 1.5
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