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Simplifying -42w + 15 = -2w + -21 Reorder the terms: 15 + -42w = -2w + -21 Reorder the terms: 15 + -42w = -21 + -2w Solving 15 + -42w = -21 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 15 + -42w + 2w = -21 + -2w + 2w Combine like terms: -42w + 2w = -40w 15 + -40w = -21 + -2w + 2w Combine like terms: -2w + 2w = 0 15 + -40w = -21 + 0 15 + -40w = -21 Add '-15' to each side of the equation. 15 + -15 + -40w = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -40w = -21 + -15 -40w = -21 + -15 Combine like terms: -21 + -15 = -36 -40w = -36 Divide each side by '-40'. w = 0.9 Simplifying w = 0.9
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