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Simplifying 16w + -3(4x + 7) = 6w + -2w + -21 Reorder the terms: 16w + -3(7 + 4x) = 6w + -2w + -21 16w + (7 * -3 + 4x * -3) = 6w + -2w + -21 16w + (-21 + -12x) = 6w + -2w + -21 Reorder the terms: -21 + 16w + -12x = 6w + -2w + -21 Reorder the terms: -21 + 16w + -12x = -21 + 6w + -2w Combine like terms: 6w + -2w = 4w -21 + 16w + -12x = -21 + 4w Add '21' to each side of the equation. -21 + 16w + 21 + -12x = -21 + 21 + 4w Reorder the terms: -21 + 21 + 16w + -12x = -21 + 21 + 4w Combine like terms: -21 + 21 = 0 0 + 16w + -12x = -21 + 21 + 4w 16w + -12x = -21 + 21 + 4w Combine like terms: -21 + 21 = 0 16w + -12x = 0 + 4w 16w + -12x = 4w Solving 16w + -12x = 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. 16w + -4w + -12x = 4w + -4w Combine like terms: 16w + -4w = 12w 12w + -12x = 4w + -4w Combine like terms: 4w + -4w = 0 12w + -12x = 0 Add '12x' to each side of the equation. 12w + -12x + 12x = 0 + 12x Combine like terms: -12x + 12x = 0 12w + 0 = 0 + 12x 12w = 0 + 12x Remove the zero: 12w = 12x Divide each side by '12'. w = x Simplifying w = x
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