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Simplifying -6(-4w + 1) + -6w = 3(w + -5) + -3 Reorder the terms: -6(1 + -4w) + -6w = 3(w + -5) + -3 (1 * -6 + -4w * -6) + -6w = 3(w + -5) + -3 (-6 + 24w) + -6w = 3(w + -5) + -3 Combine like terms: 24w + -6w = 18w -6 + 18w = 3(w + -5) + -3 Reorder the terms: -6 + 18w = 3(-5 + w) + -3 -6 + 18w = (-5 * 3 + w * 3) + -3 -6 + 18w = (-15 + 3w) + -3 Reorder the terms: -6 + 18w = -15 + -3 + 3w Combine like terms: -15 + -3 = -18 -6 + 18w = -18 + 3w Solving -6 + 18w = -18 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -6 + 18w + -3w = -18 + 3w + -3w Combine like terms: 18w + -3w = 15w -6 + 15w = -18 + 3w + -3w Combine like terms: 3w + -3w = 0 -6 + 15w = -18 + 0 -6 + 15w = -18 Add '6' to each side of the equation. -6 + 6 + 15w = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 15w = -18 + 6 15w = -18 + 6 Combine like terms: -18 + 6 = -12 15w = -12 Divide each side by '15'. w = -0.8 Simplifying w = -0.8
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