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Simplifying 6(w + -9) + -4 = -7(-2w + 8) + -4w Reorder the terms: 6(-9 + w) + -4 = -7(-2w + 8) + -4w (-9 * 6 + w * 6) + -4 = -7(-2w + 8) + -4w (-54 + 6w) + -4 = -7(-2w + 8) + -4w Reorder the terms: -54 + -4 + 6w = -7(-2w + 8) + -4w Combine like terms: -54 + -4 = -58 -58 + 6w = -7(-2w + 8) + -4w Reorder the terms: -58 + 6w = -7(8 + -2w) + -4w -58 + 6w = (8 * -7 + -2w * -7) + -4w -58 + 6w = (-56 + 14w) + -4w Combine like terms: 14w + -4w = 10w -58 + 6w = -56 + 10w Solving -58 + 6w = -56 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -58 + 6w + -10w = -56 + 10w + -10w Combine like terms: 6w + -10w = -4w -58 + -4w = -56 + 10w + -10w Combine like terms: 10w + -10w = 0 -58 + -4w = -56 + 0 -58 + -4w = -56 Add '58' to each side of the equation. -58 + 58 + -4w = -56 + 58 Combine like terms: -58 + 58 = 0 0 + -4w = -56 + 58 -4w = -56 + 58 Combine like terms: -56 + 58 = 2 -4w = 2 Divide each side by '-4'. w = -0.5 Simplifying w = -0.5
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