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Simplifying -4w + -38 = 6(w + -8) Reorder the terms: -38 + -4w = 6(w + -8) Reorder the terms: -38 + -4w = 6(-8 + w) -38 + -4w = (-8 * 6 + w * 6) -38 + -4w = (-48 + 6w) Solving -38 + -4w = -48 + 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. -38 + -4w + -6w = -48 + 6w + -6w Combine like terms: -4w + -6w = -10w -38 + -10w = -48 + 6w + -6w Combine like terms: 6w + -6w = 0 -38 + -10w = -48 + 0 -38 + -10w = -48 Add '38' to each side of the equation. -38 + 38 + -10w = -48 + 38 Combine like terms: -38 + 38 = 0 0 + -10w = -48 + 38 -10w = -48 + 38 Combine like terms: -48 + 38 = -10 -10w = -10 Divide each side by '-10'. w = 1 Simplifying w = 1
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