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Simplifying 2(w + -7) + -5 = 3(-4w + 3) + -2w Reorder the terms: 2(-7 + w) + -5 = 3(-4w + 3) + -2w (-7 * 2 + w * 2) + -5 = 3(-4w + 3) + -2w (-14 + 2w) + -5 = 3(-4w + 3) + -2w Reorder the terms: -14 + -5 + 2w = 3(-4w + 3) + -2w Combine like terms: -14 + -5 = -19 -19 + 2w = 3(-4w + 3) + -2w Reorder the terms: -19 + 2w = 3(3 + -4w) + -2w -19 + 2w = (3 * 3 + -4w * 3) + -2w -19 + 2w = (9 + -12w) + -2w Combine like terms: -12w + -2w = -14w -19 + 2w = 9 + -14w Solving -19 + 2w = 9 + -14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14w' to each side of the equation. -19 + 2w + 14w = 9 + -14w + 14w Combine like terms: 2w + 14w = 16w -19 + 16w = 9 + -14w + 14w Combine like terms: -14w + 14w = 0 -19 + 16w = 9 + 0 -19 + 16w = 9 Add '19' to each side of the equation. -19 + 19 + 16w = 9 + 19 Combine like terms: -19 + 19 = 0 0 + 16w = 9 + 19 16w = 9 + 19 Combine like terms: 9 + 19 = 28 16w = 28 Divide each side by '16'. w = 1.75 Simplifying w = 1.75
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