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Simplifying 5 + -3(w + 4) = 3w + -7 Reorder the terms: 5 + -3(4 + w) = 3w + -7 5 + (4 * -3 + w * -3) = 3w + -7 5 + (-12 + -3w) = 3w + -7 Combine like terms: 5 + -12 = -7 -7 + -3w = 3w + -7 Reorder the terms: -7 + -3w = -7 + 3w Add '7' to each side of the equation. -7 + 7 + -3w = -7 + 7 + 3w Combine like terms: -7 + 7 = 0 0 + -3w = -7 + 7 + 3w -3w = -7 + 7 + 3w Combine like terms: -7 + 7 = 0 -3w = 0 + 3w -3w = 3w Solving -3w = 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. -3w + -3w = 3w + -3w Combine like terms: -3w + -3w = -6w -6w = 3w + -3w Combine like terms: 3w + -3w = 0 -6w = 0 Divide each side by '-6'. w = 0 Simplifying w = 0
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