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Simplifying -5 = -5w + 6(7w + -8) Reorder the terms: -5 = -5w + 6(-8 + 7w) -5 = -5w + (-8 * 6 + 7w * 6) -5 = -5w + (-48 + 42w) Reorder the terms: -5 = -48 + -5w + 42w Combine like terms: -5w + 42w = 37w -5 = -48 + 37w Solving -5 = -48 + 37w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-37w' to each side of the equation. -5 + -37w = -48 + 37w + -37w Combine like terms: 37w + -37w = 0 -5 + -37w = -48 + 0 -5 + -37w = -48 Add '5' to each side of the equation. -5 + 5 + -37w = -48 + 5 Combine like terms: -5 + 5 = 0 0 + -37w = -48 + 5 -37w = -48 + 5 Combine like terms: -48 + 5 = -43 -37w = -43 Divide each side by '-37'. w = 1.162162162 Simplifying w = 1.162162162
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