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Simplifying 3w + -2 = 7(1 + -2) Reorder the terms: -2 + 3w = 7(1 + -2) Combine like terms: 1 + -2 = -1 -2 + 3w = 7(-1) Multiply 7 * -1 -2 + 3w = -7 Solving -2 + 3w = -7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3w = -7 + 2 Combine like terms: -2 + 2 = 0 0 + 3w = -7 + 2 3w = -7 + 2 Combine like terms: -7 + 2 = -5 3w = -5 Divide each side by '3'. w = -1.666666667 Simplifying w = -1.666666667
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