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Simplifying (-1w + 3) + -1(-3w + 10) = 0 Reorder the terms: (3 + -1w) + -1(-3w + 10) = 0 Remove parenthesis around (3 + -1w) 3 + -1w + -1(-3w + 10) = 0 Reorder the terms: 3 + -1w + -1(10 + -3w) = 0 3 + -1w + (10 * -1 + -3w * -1) = 0 3 + -1w + (-10 + 3w) = 0 Reorder the terms: 3 + -10 + -1w + 3w = 0 Combine like terms: 3 + -10 = -7 -7 + -1w + 3w = 0 Combine like terms: -1w + 3w = 2w -7 + 2w = 0 Solving -7 + 2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2w = 0 + 7 2w = 0 + 7 Combine like terms: 0 + 7 = 7 2w = 7 Divide each side by '2'. w = 3.5 Simplifying w = 3.5
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