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Simplifying 8(2w + -6y) + 7(-1y + 5) = -8 (2w * 8 + -6y * 8) + 7(-1y + 5) = -8 (16w + -48y) + 7(-1y + 5) = -8 Reorder the terms: 16w + -48y + 7(5 + -1y) = -8 16w + -48y + (5 * 7 + -1y * 7) = -8 16w + -48y + (35 + -7y) = -8 Reorder the terms: 35 + 16w + -48y + -7y = -8 Combine like terms: -48y + -7y = -55y 35 + 16w + -55y = -8 Solving 35 + 16w + -55y = -8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 16w + -35 + -55y = -8 + -35 Reorder the terms: 35 + -35 + 16w + -55y = -8 + -35 Combine like terms: 35 + -35 = 0 0 + 16w + -55y = -8 + -35 16w + -55y = -8 + -35 Combine like terms: -8 + -35 = -43 16w + -55y = -43 Add '55y' to each side of the equation. 16w + -55y + 55y = -43 + 55y Combine like terms: -55y + 55y = 0 16w + 0 = -43 + 55y 16w = -43 + 55y Divide each side by '16'. w = -2.6875 + 3.4375y Simplifying w = -2.6875 + 3.4375y
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