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Simplifying 4w + -16 = 6(w + -5) Reorder the terms: -16 + 4w = 6(w + -5) Reorder the terms: -16 + 4w = 6(-5 + w) -16 + 4w = (-5 * 6 + w * 6) -16 + 4w = (-30 + 6w) Solving -16 + 4w = -30 + 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. -16 + 4w + -6w = -30 + 6w + -6w Combine like terms: 4w + -6w = -2w -16 + -2w = -30 + 6w + -6w Combine like terms: 6w + -6w = 0 -16 + -2w = -30 + 0 -16 + -2w = -30 Add '16' to each side of the equation. -16 + 16 + -2w = -30 + 16 Combine like terms: -16 + 16 = 0 0 + -2w = -30 + 16 -2w = -30 + 16 Combine like terms: -30 + 16 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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