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Simplifying 1 + 2(4w + -4) + -3w = 5(w + -2) + 3 Reorder the terms: 1 + 2(-4 + 4w) + -3w = 5(w + -2) + 3 1 + (-4 * 2 + 4w * 2) + -3w = 5(w + -2) + 3 1 + (-8 + 8w) + -3w = 5(w + -2) + 3 Combine like terms: 1 + -8 = -7 -7 + 8w + -3w = 5(w + -2) + 3 Combine like terms: 8w + -3w = 5w -7 + 5w = 5(w + -2) + 3 Reorder the terms: -7 + 5w = 5(-2 + w) + 3 -7 + 5w = (-2 * 5 + w * 5) + 3 -7 + 5w = (-10 + 5w) + 3 Reorder the terms: -7 + 5w = -10 + 3 + 5w Combine like terms: -10 + 3 = -7 -7 + 5w = -7 + 5w Add '7' to each side of the equation. -7 + 7 + 5w = -7 + 7 + 5w Combine like terms: -7 + 7 = 0 0 + 5w = -7 + 7 + 5w 5w = -7 + 7 + 5w Combine like terms: -7 + 7 = 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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