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Simplifying -5(3w + -6) + 16(w + -6) = -48 + -9 Reorder the terms: -5(-6 + 3w) + 16(w + -6) = -48 + -9 (-6 * -5 + 3w * -5) + 16(w + -6) = -48 + -9 (30 + -15w) + 16(w + -6) = -48 + -9 Reorder the terms: 30 + -15w + 16(-6 + w) = -48 + -9 30 + -15w + (-6 * 16 + w * 16) = -48 + -9 30 + -15w + (-96 + 16w) = -48 + -9 Reorder the terms: 30 + -96 + -15w + 16w = -48 + -9 Combine like terms: 30 + -96 = -66 -66 + -15w + 16w = -48 + -9 Combine like terms: -15w + 16w = 1w -66 + 1w = -48 + -9 Combine like terms: -48 + -9 = -57 -66 + 1w = -57 Solving -66 + 1w = -57 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 1w = -57 + 66 Combine like terms: -66 + 66 = 0 0 + 1w = -57 + 66 1w = -57 + 66 Combine like terms: -57 + 66 = 9 1w = 9 Divide each side by '1'. w = 9 Simplifying w = 9
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