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Simplifying 4 + -5(w + 2) = 2(w + -1) + -7w + -4 Reorder the terms: 4 + -5(2 + w) = 2(w + -1) + -7w + -4 4 + (2 * -5 + w * -5) = 2(w + -1) + -7w + -4 4 + (-10 + -5w) = 2(w + -1) + -7w + -4 Combine like terms: 4 + -10 = -6 -6 + -5w = 2(w + -1) + -7w + -4 Reorder the terms: -6 + -5w = 2(-1 + w) + -7w + -4 -6 + -5w = (-1 * 2 + w * 2) + -7w + -4 -6 + -5w = (-2 + 2w) + -7w + -4 Reorder the terms: -6 + -5w = -2 + -4 + 2w + -7w Combine like terms: -2 + -4 = -6 -6 + -5w = -6 + 2w + -7w Combine like terms: 2w + -7w = -5w -6 + -5w = -6 + -5w Add '6' to each side of the equation. -6 + 6 + -5w = -6 + 6 + -5w Combine like terms: -6 + 6 = 0 0 + -5w = -6 + 6 + -5w -5w = -6 + 6 + -5w Combine like terms: -6 + 6 = 0 -5w = 0 + -5w -5w = -5w Add '5w' to each side of the equation. -5w + 5w = -5w + 5w Combine like terms: -5w + 5w = 0 0 = -5w + 5w Combine like terms: -5w + 5w = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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