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