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Simplifying 8(2w + -6) + 4(-15w) = 0 Reorder the terms: 8(-6 + 2w) + 4(-15w) = 0 (-6 * 8 + 2w * 8) + 4(-15w) = 0 (-48 + 16w) + 4(-15w) = 0 Remove parenthesis around (-15w) -48 + 16w + 4 * -15w = 0 Multiply 4 * -15 -48 + 16w + -60w = 0 Combine like terms: 16w + -60w = -44w -48 + -44w = 0 Solving -48 + -44w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -44w = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -44w = 0 + 48 -44w = 0 + 48 Combine like terms: 0 + 48 = 48 -44w = 48 Divide each side by '-44'. w = -1.090909091 Simplifying w = -1.090909091
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