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Simplifying 20w + 43w + -1(-60w) + -98w + -1(-99) = -51 Remove parenthesis around (-60w) 20w + 43w + -1 * -60w + -98w + -1(-99) = -51 Multiply -1 * -60 20w + 43w + 60w + -98w + -1(-99) = -51 Multiply -1 * -99 20w + 43w + 60w + -98w + 99 = -51 Reorder the terms: 99 + 20w + 43w + 60w + -98w = -51 Combine like terms: 20w + 43w = 63w 99 + 63w + 60w + -98w = -51 Combine like terms: 63w + 60w = 123w 99 + 123w + -98w = -51 Combine like terms: 123w + -98w = 25w 99 + 25w = -51 Solving 99 + 25w = -51 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -99 + 25w = -51 + -99 Combine like terms: 99 + -99 = 0 0 + 25w = -51 + -99 25w = -51 + -99 Combine like terms: -51 + -99 = -150 25w = -150 Divide each side by '25'. w = -6 Simplifying w = -6
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