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Simplifying -6(-3w + 1) + -8w = 4(w + -2) + -7 Reorder the terms: -6(1 + -3w) + -8w = 4(w + -2) + -7 (1 * -6 + -3w * -6) + -8w = 4(w + -2) + -7 (-6 + 18w) + -8w = 4(w + -2) + -7 Combine like terms: 18w + -8w = 10w -6 + 10w = 4(w + -2) + -7 Reorder the terms: -6 + 10w = 4(-2 + w) + -7 -6 + 10w = (-2 * 4 + w * 4) + -7 -6 + 10w = (-8 + 4w) + -7 Reorder the terms: -6 + 10w = -8 + -7 + 4w Combine like terms: -8 + -7 = -15 -6 + 10w = -15 + 4w Solving -6 + 10w = -15 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -6 + 10w + -4w = -15 + 4w + -4w Combine like terms: 10w + -4w = 6w -6 + 6w = -15 + 4w + -4w Combine like terms: 4w + -4w = 0 -6 + 6w = -15 + 0 -6 + 6w = -15 Add '6' to each side of the equation. -6 + 6 + 6w = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 6w = -15 + 6 6w = -15 + 6 Combine like terms: -15 + 6 = -9 6w = -9 Divide each side by '6'. w = -1.5 Simplifying w = -1.5
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