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Simplifying 3(2w + 3) = -4(x + 1) Reorder the terms: 3(3 + 2w) = -4(x + 1) (3 * 3 + 2w * 3) = -4(x + 1) (9 + 6w) = -4(x + 1) Reorder the terms: 9 + 6w = -4(1 + x) 9 + 6w = (1 * -4 + x * -4) 9 + 6w = (-4 + -4x) Solving 9 + 6w = -4 + -4x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6w = -4 + -9 + -4x Combine like terms: 9 + -9 = 0 0 + 6w = -4 + -9 + -4x 6w = -4 + -9 + -4x Combine like terms: -4 + -9 = -13 6w = -13 + -4x Divide each side by '6'. w = -2.166666667 + -0.6666666667x Simplifying w = -2.166666667 + -0.6666666667x
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