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Simplifying 4(w + -1) + -5 = -3(-4w + 2) + -2w Reorder the terms: 4(-1 + w) + -5 = -3(-4w + 2) + -2w (-1 * 4 + w * 4) + -5 = -3(-4w + 2) + -2w (-4 + 4w) + -5 = -3(-4w + 2) + -2w Reorder the terms: -4 + -5 + 4w = -3(-4w + 2) + -2w Combine like terms: -4 + -5 = -9 -9 + 4w = -3(-4w + 2) + -2w Reorder the terms: -9 + 4w = -3(2 + -4w) + -2w -9 + 4w = (2 * -3 + -4w * -3) + -2w -9 + 4w = (-6 + 12w) + -2w Combine like terms: 12w + -2w = 10w -9 + 4w = -6 + 10w Solving -9 + 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. -9 + 4w + -10w = -6 + 10w + -10w Combine like terms: 4w + -10w = -6w -9 + -6w = -6 + 10w + -10w Combine like terms: 10w + -10w = 0 -9 + -6w = -6 + 0 -9 + -6w = -6 Add '9' to each side of the equation. -9 + 9 + -6w = -6 + 9 Combine like terms: -9 + 9 = 0 0 + -6w = -6 + 9 -6w = -6 + 9 Combine like terms: -6 + 9 = 3 -6w = 3 Divide each side by '-6'. w = -0.5 Simplifying w = -0.5
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