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Simplifying -3w + -48 = 3(w + -6) Reorder the terms: -48 + -3w = 3(w + -6) Reorder the terms: -48 + -3w = 3(-6 + w) -48 + -3w = (-6 * 3 + w * 3) -48 + -3w = (-18 + 3w) Solving -48 + -3w = -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. -48 + -3w + -3w = -18 + 3w + -3w Combine like terms: -3w + -3w = -6w -48 + -6w = -18 + 3w + -3w Combine like terms: 3w + -3w = 0 -48 + -6w = -18 + 0 -48 + -6w = -18 Add '48' to each side of the equation. -48 + 48 + -6w = -18 + 48 Combine like terms: -48 + 48 = 0 0 + -6w = -18 + 48 -6w = -18 + 48 Combine like terms: -18 + 48 = 30 -6w = 30 Divide each side by '-6'. w = -5 Simplifying w = -5
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