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Simplifying 2w + -8(w + 7) + -3 = 4w + 7 Reorder the terms: 2w + -8(7 + w) + -3 = 4w + 7 2w + (7 * -8 + w * -8) + -3 = 4w + 7 2w + (-56 + -8w) + -3 = 4w + 7 Reorder the terms: -56 + -3 + 2w + -8w = 4w + 7 Combine like terms: -56 + -3 = -59 -59 + 2w + -8w = 4w + 7 Combine like terms: 2w + -8w = -6w -59 + -6w = 4w + 7 Reorder the terms: -59 + -6w = 7 + 4w Solving -59 + -6w = 7 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -59 + -6w + -4w = 7 + 4w + -4w Combine like terms: -6w + -4w = -10w -59 + -10w = 7 + 4w + -4w Combine like terms: 4w + -4w = 0 -59 + -10w = 7 + 0 -59 + -10w = 7 Add '59' to each side of the equation. -59 + 59 + -10w = 7 + 59 Combine like terms: -59 + 59 = 0 0 + -10w = 7 + 59 -10w = 7 + 59 Combine like terms: 7 + 59 = 66 -10w = 66 Divide each side by '-10'. w = -6.6 Simplifying w = -6.6
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