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Simplifying 4(2w + -1) = 3(w + 2) + 5(w + -2) Reorder the terms: 4(-1 + 2w) = 3(w + 2) + 5(w + -2) (-1 * 4 + 2w * 4) = 3(w + 2) + 5(w + -2) (-4 + 8w) = 3(w + 2) + 5(w + -2) Reorder the terms: -4 + 8w = 3(2 + w) + 5(w + -2) -4 + 8w = (2 * 3 + w * 3) + 5(w + -2) -4 + 8w = (6 + 3w) + 5(w + -2) Reorder the terms: -4 + 8w = 6 + 3w + 5(-2 + w) -4 + 8w = 6 + 3w + (-2 * 5 + w * 5) -4 + 8w = 6 + 3w + (-10 + 5w) Reorder the terms: -4 + 8w = 6 + -10 + 3w + 5w Combine like terms: 6 + -10 = -4 -4 + 8w = -4 + 3w + 5w Combine like terms: 3w + 5w = 8w -4 + 8w = -4 + 8w Add '4' to each side of the equation. -4 + 4 + 8w = -4 + 4 + 8w Combine like terms: -4 + 4 = 0 0 + 8w = -4 + 4 + 8w 8w = -4 + 4 + 8w Combine like terms: -4 + 4 = 0 8w = 0 + 8w 8w = 8w Add '-8w' to each side of the equation. 8w + -8w = 8w + -8w Combine like terms: 8w + -8w = 0 0 = 8w + -8w Combine like terms: 8w + -8w = 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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