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Simplifying -19w + -7w + -1(-2w) + -1(-3w) + 8w + 3 = 16 Remove parenthesis around (-2w) -19w + -7w + -1 * -2w + -1(-3w) + 8w + 3 = 16 Multiply -1 * -2 -19w + -7w + 2w + -1(-3w) + 8w + 3 = 16 Remove parenthesis around (-3w) -19w + -7w + 2w + -1 * -3w + 8w + 3 = 16 Multiply -1 * -3 -19w + -7w + 2w + 3w + 8w + 3 = 16 Reorder the terms: 3 + -19w + -7w + 2w + 3w + 8w = 16 Combine like terms: -19w + -7w = -26w 3 + -26w + 2w + 3w + 8w = 16 Combine like terms: -26w + 2w = -24w 3 + -24w + 3w + 8w = 16 Combine like terms: -24w + 3w = -21w 3 + -21w + 8w = 16 Combine like terms: -21w + 8w = -13w 3 + -13w = 16 Solving 3 + -13w = 16 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -13w = 16 + -3 Combine like terms: 3 + -3 = 0 0 + -13w = 16 + -3 -13w = 16 + -3 Combine like terms: 16 + -3 = 13 -13w = 13 Divide each side by '-13'. w = -1 Simplifying w = -1
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