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Simplifying -6w + -30 = -4(w + 4) Reorder the terms: -30 + -6w = -4(w + 4) Reorder the terms: -30 + -6w = -4(4 + w) -30 + -6w = (4 * -4 + w * -4) -30 + -6w = (-16 + -4w) Solving -30 + -6w = -16 + -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. -30 + -6w + 4w = -16 + -4w + 4w Combine like terms: -6w + 4w = -2w -30 + -2w = -16 + -4w + 4w Combine like terms: -4w + 4w = 0 -30 + -2w = -16 + 0 -30 + -2w = -16 Add '30' to each side of the equation. -30 + 30 + -2w = -16 + 30 Combine like terms: -30 + 30 = 0 0 + -2w = -16 + 30 -2w = -16 + 30 Combine like terms: -16 + 30 = 14 -2w = 14 Divide each side by '-2'. w = -7 Simplifying w = -7
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