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Simplifying -1w + 4(x + 3) = -12 Reorder the terms: -1w + 4(3 + x) = -12 -1w + (3 * 4 + x * 4) = -12 -1w + (12 + 4x) = -12 Reorder the terms: 12 + -1w + 4x = -12 Solving 12 + -1w + 4x = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -1w + -12 + 4x = -12 + -12 Reorder the terms: 12 + -12 + -1w + 4x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -1w + 4x = -12 + -12 -1w + 4x = -12 + -12 Combine like terms: -12 + -12 = -24 -1w + 4x = -24 Add '-4x' to each side of the equation. -1w + 4x + -4x = -24 + -4x Combine like terms: 4x + -4x = 0 -1w + 0 = -24 + -4x -1w = -24 + -4x Divide each side by '-1'. w = 24 + 4x Simplifying w = 24 + 4x
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