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Simplifying 14w + -6(4w + 8) = 22 Reorder the terms: 14w + -6(8 + 4w) = 22 14w + (8 * -6 + 4w * -6) = 22 14w + (-48 + -24w) = 22 Reorder the terms: -48 + 14w + -24w = 22 Combine like terms: 14w + -24w = -10w -48 + -10w = 22 Solving -48 + -10w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -10w = 22 + 48 Combine like terms: -48 + 48 = 0 0 + -10w = 22 + 48 -10w = 22 + 48 Combine like terms: 22 + 48 = 70 -10w = 70 Divide each side by '-10'. w = -7 Simplifying w = -7
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