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Simplifying 4(w + 7) + -1(-3w + -9) = 6w Reorder the terms: 4(7 + w) + -1(-3w + -9) = 6w (7 * 4 + w * 4) + -1(-3w + -9) = 6w (28 + 4w) + -1(-3w + -9) = 6w Reorder the terms: 28 + 4w + -1(-9 + -3w) = 6w 28 + 4w + (-9 * -1 + -3w * -1) = 6w 28 + 4w + (9 + 3w) = 6w Reorder the terms: 28 + 9 + 4w + 3w = 6w Combine like terms: 28 + 9 = 37 37 + 4w + 3w = 6w Combine like terms: 4w + 3w = 7w 37 + 7w = 6w Solving 37 + 7w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 37 + 7w + -6w = 6w + -6w Combine like terms: 7w + -6w = 1w 37 + 1w = 6w + -6w Combine like terms: 6w + -6w = 0 37 + 1w = 0 Add '-37' to each side of the equation. 37 + -37 + 1w = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 1w = 0 + -37 1w = 0 + -37 Combine like terms: 0 + -37 = -37 1w = -37 Divide each side by '1'. w = -37 Simplifying w = -37
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