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Simplifying 19w + -9(15w + 1) = 20w + -9 + -8w Reorder the terms: 19w + -9(1 + 15w) = 20w + -9 + -8w 19w + (1 * -9 + 15w * -9) = 20w + -9 + -8w 19w + (-9 + -135w) = 20w + -9 + -8w Reorder the terms: -9 + 19w + -135w = 20w + -9 + -8w Combine like terms: 19w + -135w = -116w -9 + -116w = 20w + -9 + -8w Reorder the terms: -9 + -116w = -9 + 20w + -8w Combine like terms: 20w + -8w = 12w -9 + -116w = -9 + 12w Add '9' to each side of the equation. -9 + 9 + -116w = -9 + 9 + 12w Combine like terms: -9 + 9 = 0 0 + -116w = -9 + 9 + 12w -116w = -9 + 9 + 12w Combine like terms: -9 + 9 = 0 -116w = 0 + 12w -116w = 12w Solving -116w = 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -116w + -12w = 12w + -12w Combine like terms: -116w + -12w = -128w -128w = 12w + -12w Combine like terms: 12w + -12w = 0 -128w = 0 Divide each side by '-128'. w = 0 Simplifying w = 0
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