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Simplifying 8(2w + -6y) + 4(-1 + -5w) = 50 (2w * 8 + -6y * 8) + 4(-1 + -5w) = 50 (16w + -48y) + 4(-1 + -5w) = 50 16w + -48y + (-1 * 4 + -5w * 4) = 50 16w + -48y + (-4 + -20w) = 50 Reorder the terms: -4 + 16w + -20w + -48y = 50 Combine like terms: 16w + -20w = -4w -4 + -4w + -48y = 50 Solving -4 + -4w + -48y = 50 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -4w + 4 + -48y = 50 + 4 Reorder the terms: -4 + 4 + -4w + -48y = 50 + 4 Combine like terms: -4 + 4 = 0 0 + -4w + -48y = 50 + 4 -4w + -48y = 50 + 4 Combine like terms: 50 + 4 = 54 -4w + -48y = 54 Add '48y' to each side of the equation. -4w + -48y + 48y = 54 + 48y Combine like terms: -48y + 48y = 0 -4w + 0 = 54 + 48y -4w = 54 + 48y Divide each side by '-4'. w = -13.5 + -12y Simplifying w = -13.5 + -12y
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