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Simplifying 4(w + -8) + -6 = -4(-6w + 9) + -6w Reorder the terms: 4(-8 + w) + -6 = -4(-6w + 9) + -6w (-8 * 4 + w * 4) + -6 = -4(-6w + 9) + -6w (-32 + 4w) + -6 = -4(-6w + 9) + -6w Reorder the terms: -32 + -6 + 4w = -4(-6w + 9) + -6w Combine like terms: -32 + -6 = -38 -38 + 4w = -4(-6w + 9) + -6w Reorder the terms: -38 + 4w = -4(9 + -6w) + -6w -38 + 4w = (9 * -4 + -6w * -4) + -6w -38 + 4w = (-36 + 24w) + -6w Combine like terms: 24w + -6w = 18w -38 + 4w = -36 + 18w Solving -38 + 4w = -36 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. -38 + 4w + -18w = -36 + 18w + -18w Combine like terms: 4w + -18w = -14w -38 + -14w = -36 + 18w + -18w Combine like terms: 18w + -18w = 0 -38 + -14w = -36 + 0 -38 + -14w = -36 Add '38' to each side of the equation. -38 + 38 + -14w = -36 + 38 Combine like terms: -38 + 38 = 0 0 + -14w = -36 + 38 -14w = -36 + 38 Combine like terms: -36 + 38 = 2 -14w = 2 Divide each side by '-14'. w = -0.1428571429 Simplifying w = -0.1428571429
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