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Simplifying 6w + -1(3) = (-4) + -1w Multiply -1 * 3 6w + -3 = (-4) + -1w Reorder the terms: -3 + 6w = (-4) + -1w -3 + 6w = -4 + -1w Solving -3 + 6w = -4 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -3 + 6w + w = -4 + -1w + w Combine like terms: 6w + w = 7w -3 + 7w = -4 + -1w + w Combine like terms: -1w + w = 0 -3 + 7w = -4 + 0 -3 + 7w = -4 Add '3' to each side of the equation. -3 + 3 + 7w = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 7w = -4 + 3 7w = -4 + 3 Combine like terms: -4 + 3 = -1 7w = -1 Divide each side by '7'. w = -0.1428571429 Simplifying w = -0.1428571429
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