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Simplifying 8(4) = w(7) + -1w(3) Multiply 8 * 4 32 = w(7) + -1w(3) Reorder the terms for easier multiplication: 32 = 7w + -1w(3) Reorder the terms for easier multiplication: 32 = 7w + -1 * 3w Multiply -1 * 3 32 = 7w + -3w Combine like terms: 7w + -3w = 4w 32 = 4w Solving 32 = 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. 32 + -4w = 4w + -4w Combine like terms: 4w + -4w = 0 32 + -4w = 0 Add '-32' to each side of the equation. 32 + -32 + -4w = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -4w = 0 + -32 -4w = 0 + -32 Combine like terms: 0 + -32 = -32 -4w = -32 Divide each side by '-4'. w = 8 Simplifying w = 8
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