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Simplifying 7w(1 + -5) = 3w + -7w + 12 Combine like terms: 1 + -5 = -4 7w(-4) = 3w + -7w + 12 Reorder the terms for easier multiplication: 7 * -4w = 3w + -7w + 12 Multiply 7 * -4 -28w = 3w + -7w + 12 Reorder the terms: -28w = 12 + 3w + -7w Combine like terms: 3w + -7w = -4w -28w = 12 + -4w Solving -28w = 12 + -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. -28w + 4w = 12 + -4w + 4w Combine like terms: -28w + 4w = -24w -24w = 12 + -4w + 4w Combine like terms: -4w + 4w = 0 -24w = 12 + 0 -24w = 12 Divide each side by '-24'. w = -0.5 Simplifying w = -0.5
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