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Simplifying 2w + 5 = -14 + 4(4w + -10) Reorder the terms: 5 + 2w = -14 + 4(4w + -10) Reorder the terms: 5 + 2w = -14 + 4(-10 + 4w) 5 + 2w = -14 + (-10 * 4 + 4w * 4) 5 + 2w = -14 + (-40 + 16w) Combine like terms: -14 + -40 = -54 5 + 2w = -54 + 16w Solving 5 + 2w = -54 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. 5 + 2w + -16w = -54 + 16w + -16w Combine like terms: 2w + -16w = -14w 5 + -14w = -54 + 16w + -16w Combine like terms: 16w + -16w = 0 5 + -14w = -54 + 0 5 + -14w = -54 Add '-5' to each side of the equation. 5 + -5 + -14w = -54 + -5 Combine like terms: 5 + -5 = 0 0 + -14w = -54 + -5 -14w = -54 + -5 Combine like terms: -54 + -5 = -59 -14w = -59 Divide each side by '-14'. w = 4.214285714 Simplifying w = 4.214285714
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