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Simplifying 8(2w + -5) + 7(y + 5) = 8 Reorder the terms: 8(-5 + 2w) + 7(y + 5) = 8 (-5 * 8 + 2w * 8) + 7(y + 5) = 8 (-40 + 16w) + 7(y + 5) = 8 Reorder the terms: -40 + 16w + 7(5 + y) = 8 -40 + 16w + (5 * 7 + y * 7) = 8 -40 + 16w + (35 + 7y) = 8 Reorder the terms: -40 + 35 + 16w + 7y = 8 Combine like terms: -40 + 35 = -5 -5 + 16w + 7y = 8 Solving -5 + 16w + 7y = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 16w + 5 + 7y = 8 + 5 Reorder the terms: -5 + 5 + 16w + 7y = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 16w + 7y = 8 + 5 16w + 7y = 8 + 5 Combine like terms: 8 + 5 = 13 16w + 7y = 13 Add '-7y' to each side of the equation. 16w + 7y + -7y = 13 + -7y Combine like terms: 7y + -7y = 0 16w + 0 = 13 + -7y 16w = 13 + -7y Divide each side by '16'. w = 0.8125 + -0.4375y Simplifying w = 0.8125 + -0.4375y
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