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Simplifying 8(2w + -6) + 7(-1y + 5) = -8 Reorder the terms: 8(-6 + 2w) + 7(-1y + 5) = -8 (-6 * 8 + 2w * 8) + 7(-1y + 5) = -8 (-48 + 16w) + 7(-1y + 5) = -8 Reorder the terms: -48 + 16w + 7(5 + -1y) = -8 -48 + 16w + (5 * 7 + -1y * 7) = -8 -48 + 16w + (35 + -7y) = -8 Reorder the terms: -48 + 35 + 16w + -7y = -8 Combine like terms: -48 + 35 = -13 -13 + 16w + -7y = -8 Solving -13 + 16w + -7y = -8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 16w + 13 + -7y = -8 + 13 Reorder the terms: -13 + 13 + 16w + -7y = -8 + 13 Combine like terms: -13 + 13 = 0 0 + 16w + -7y = -8 + 13 16w + -7y = -8 + 13 Combine like terms: -8 + 13 = 5 16w + -7y = 5 Add '7y' to each side of the equation. 16w + -7y + 7y = 5 + 7y Combine like terms: -7y + 7y = 0 16w + 0 = 5 + 7y 16w = 5 + 7y Divide each side by '16'. w = 0.3125 + 0.4375y Simplifying w = 0.3125 + 0.4375y
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