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Simplifying 7x + -2(3 + 4w) = 19 7x + (3 * -2 + 4w * -2) = 19 7x + (-6 + -8w) = 19 Reorder the terms: -6 + -8w + 7x = 19 Solving -6 + -8w + 7x = 19 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -8w + 6 + 7x = 19 + 6 Reorder the terms: -6 + 6 + -8w + 7x = 19 + 6 Combine like terms: -6 + 6 = 0 0 + -8w + 7x = 19 + 6 -8w + 7x = 19 + 6 Combine like terms: 19 + 6 = 25 -8w + 7x = 25 Add '-7x' to each side of the equation. -8w + 7x + -7x = 25 + -7x Combine like terms: 7x + -7x = 0 -8w + 0 = 25 + -7x -8w = 25 + -7x Divide each side by '-8'. w = -3.125 + 0.875x Simplifying w = -3.125 + 0.875x
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