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Simplifying -9 + -1(4 + 3w) = -1(2w + -1) + -5 -9 + (4 * -1 + 3w * -1) = -1(2w + -1) + -5 -9 + (-4 + -3w) = -1(2w + -1) + -5 Combine like terms: -9 + -4 = -13 -13 + -3w = -1(2w + -1) + -5 Reorder the terms: -13 + -3w = -1(-1 + 2w) + -5 -13 + -3w = (-1 * -1 + 2w * -1) + -5 -13 + -3w = (1 + -2w) + -5 Reorder the terms: -13 + -3w = 1 + -5 + -2w Combine like terms: 1 + -5 = -4 -13 + -3w = -4 + -2w Solving -13 + -3w = -4 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -13 + -3w + 2w = -4 + -2w + 2w Combine like terms: -3w + 2w = -1w -13 + -1w = -4 + -2w + 2w Combine like terms: -2w + 2w = 0 -13 + -1w = -4 + 0 -13 + -1w = -4 Add '13' to each side of the equation. -13 + 13 + -1w = -4 + 13 Combine like terms: -13 + 13 = 0 0 + -1w = -4 + 13 -1w = -4 + 13 Combine like terms: -4 + 13 = 9 -1w = 9 Divide each side by '-1'. w = -9 Simplifying w = -9
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