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Simplifying 3(2w + -5) + -1(5w + 1) = -3 Reorder the terms: 3(-5 + 2w) + -1(5w + 1) = -3 (-5 * 3 + 2w * 3) + -1(5w + 1) = -3 (-15 + 6w) + -1(5w + 1) = -3 Reorder the terms: -15 + 6w + -1(1 + 5w) = -3 -15 + 6w + (1 * -1 + 5w * -1) = -3 -15 + 6w + (-1 + -5w) = -3 Reorder the terms: -15 + -1 + 6w + -5w = -3 Combine like terms: -15 + -1 = -16 -16 + 6w + -5w = -3 Combine like terms: 6w + -5w = 1w -16 + 1w = -3 Solving -16 + 1w = -3 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1w = -3 + 16 Combine like terms: -16 + 16 = 0 0 + 1w = -3 + 16 1w = -3 + 16 Combine like terms: -3 + 16 = 13 1w = 13 Divide each side by '1'. w = 13 Simplifying w = 13
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