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Simplifying -5(-8w + 3) = 2(16w + 18) + 9w Reorder the terms: -5(3 + -8w) = 2(16w + 18) + 9w (3 * -5 + -8w * -5) = 2(16w + 18) + 9w (-15 + 40w) = 2(16w + 18) + 9w Reorder the terms: -15 + 40w = 2(18 + 16w) + 9w -15 + 40w = (18 * 2 + 16w * 2) + 9w -15 + 40w = (36 + 32w) + 9w Combine like terms: 32w + 9w = 41w -15 + 40w = 36 + 41w Solving -15 + 40w = 36 + 41w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-41w' to each side of the equation. -15 + 40w + -41w = 36 + 41w + -41w Combine like terms: 40w + -41w = -1w -15 + -1w = 36 + 41w + -41w Combine like terms: 41w + -41w = 0 -15 + -1w = 36 + 0 -15 + -1w = 36 Add '15' to each side of the equation. -15 + 15 + -1w = 36 + 15 Combine like terms: -15 + 15 = 0 0 + -1w = 36 + 15 -1w = 36 + 15 Combine like terms: 36 + 15 = 51 -1w = 51 Divide each side by '-1'. w = -51 Simplifying w = -51
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