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Simplifying 8(2w + -6) + 4(-1 + -5w) = 50 Reorder the terms: 8(-6 + 2w) + 4(-1 + -5w) = 50 (-6 * 8 + 2w * 8) + 4(-1 + -5w) = 50 (-48 + 16w) + 4(-1 + -5w) = 50 -48 + 16w + (-1 * 4 + -5w * 4) = 50 -48 + 16w + (-4 + -20w) = 50 Reorder the terms: -48 + -4 + 16w + -20w = 50 Combine like terms: -48 + -4 = -52 -52 + 16w + -20w = 50 Combine like terms: 16w + -20w = -4w -52 + -4w = 50 Solving -52 + -4w = 50 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -4w = 50 + 52 Combine like terms: -52 + 52 = 0 0 + -4w = 50 + 52 -4w = 50 + 52 Combine like terms: 50 + 52 = 102 -4w = 102 Divide each side by '-4'. w = -25.5 Simplifying w = -25.5
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