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Simplifying 4(w + -4) + -6 = -6(-2w + 1) + -2w Reorder the terms: 4(-4 + w) + -6 = -6(-2w + 1) + -2w (-4 * 4 + w * 4) + -6 = -6(-2w + 1) + -2w (-16 + 4w) + -6 = -6(-2w + 1) + -2w Reorder the terms: -16 + -6 + 4w = -6(-2w + 1) + -2w Combine like terms: -16 + -6 = -22 -22 + 4w = -6(-2w + 1) + -2w Reorder the terms: -22 + 4w = -6(1 + -2w) + -2w -22 + 4w = (1 * -6 + -2w * -6) + -2w -22 + 4w = (-6 + 12w) + -2w Combine like terms: 12w + -2w = 10w -22 + 4w = -6 + 10w Solving -22 + 4w = -6 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -22 + 4w + -10w = -6 + 10w + -10w Combine like terms: 4w + -10w = -6w -22 + -6w = -6 + 10w + -10w Combine like terms: 10w + -10w = 0 -22 + -6w = -6 + 0 -22 + -6w = -6 Add '22' to each side of the equation. -22 + 22 + -6w = -6 + 22 Combine like terms: -22 + 22 = 0 0 + -6w = -6 + 22 -6w = -6 + 22 Combine like terms: -6 + 22 = 16 -6w = 16 Divide each side by '-6'. w = -2.666666667 Simplifying w = -2.666666667
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