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Simplifying 6(w + -2) = 4(4w + 8) Reorder the terms: 6(-2 + w) = 4(4w + 8) (-2 * 6 + w * 6) = 4(4w + 8) (-12 + 6w) = 4(4w + 8) Reorder the terms: -12 + 6w = 4(8 + 4w) -12 + 6w = (8 * 4 + 4w * 4) -12 + 6w = (32 + 16w) Solving -12 + 6w = 32 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -12 + 6w + -16w = 32 + 16w + -16w Combine like terms: 6w + -16w = -10w -12 + -10w = 32 + 16w + -16w Combine like terms: 16w + -16w = 0 -12 + -10w = 32 + 0 -12 + -10w = 32 Add '12' to each side of the equation. -12 + 12 + -10w = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -10w = 32 + 12 -10w = 32 + 12 Combine like terms: 32 + 12 = 44 -10w = 44 Divide each side by '-10'. w = -4.4 Simplifying w = -4.4
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