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Simplifying -9w + -48 = -6(w + 9) Reorder the terms: -48 + -9w = -6(w + 9) Reorder the terms: -48 + -9w = -6(9 + w) -48 + -9w = (9 * -6 + w * -6) -48 + -9w = (-54 + -6w) Solving -48 + -9w = -54 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -48 + -9w + 6w = -54 + -6w + 6w Combine like terms: -9w + 6w = -3w -48 + -3w = -54 + -6w + 6w Combine like terms: -6w + 6w = 0 -48 + -3w = -54 + 0 -48 + -3w = -54 Add '48' to each side of the equation. -48 + 48 + -3w = -54 + 48 Combine like terms: -48 + 48 = 0 0 + -3w = -54 + 48 -3w = -54 + 48 Combine like terms: -54 + 48 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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