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