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Simplifying 6w + -5 = -3(2w + 1) Reorder the terms: -5 + 6w = -3(2w + 1) Reorder the terms: -5 + 6w = -3(1 + 2w) -5 + 6w = (1 * -3 + 2w * -3) -5 + 6w = (-3 + -6w) Solving -5 + 6w = -3 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -5 + 6w + 6w = -3 + -6w + 6w Combine like terms: 6w + 6w = 12w -5 + 12w = -3 + -6w + 6w Combine like terms: -6w + 6w = 0 -5 + 12w = -3 + 0 -5 + 12w = -3 Add '5' to each side of the equation. -5 + 5 + 12w = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 12w = -3 + 5 12w = -3 + 5 Combine like terms: -3 + 5 = 2 12w = 2 Divide each side by '12'. w = 0.1666666667 Simplifying w = 0.1666666667
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