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Simplifying 5(w + -2) + -8 = -4(-6w + 6) + -3w Reorder the terms: 5(-2 + w) + -8 = -4(-6w + 6) + -3w (-2 * 5 + w * 5) + -8 = -4(-6w + 6) + -3w (-10 + 5w) + -8 = -4(-6w + 6) + -3w Reorder the terms: -10 + -8 + 5w = -4(-6w + 6) + -3w Combine like terms: -10 + -8 = -18 -18 + 5w = -4(-6w + 6) + -3w Reorder the terms: -18 + 5w = -4(6 + -6w) + -3w -18 + 5w = (6 * -4 + -6w * -4) + -3w -18 + 5w = (-24 + 24w) + -3w Combine like terms: 24w + -3w = 21w -18 + 5w = -24 + 21w Solving -18 + 5w = -24 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -18 + 5w + -21w = -24 + 21w + -21w Combine like terms: 5w + -21w = -16w -18 + -16w = -24 + 21w + -21w Combine like terms: 21w + -21w = 0 -18 + -16w = -24 + 0 -18 + -16w = -24 Add '18' to each side of the equation. -18 + 18 + -16w = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -16w = -24 + 18 -16w = -24 + 18 Combine like terms: -24 + 18 = -6 -16w = -6 Divide each side by '-16'. w = 0.375 Simplifying w = 0.375
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