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Simplifying -7(w + 1) + -1w + -8 = -8(w + 5) + 25 Reorder the terms: -7(1 + w) + -1w + -8 = -8(w + 5) + 25 (1 * -7 + w * -7) + -1w + -8 = -8(w + 5) + 25 (-7 + -7w) + -1w + -8 = -8(w + 5) + 25 Reorder the terms: -7 + -8 + -7w + -1w = -8(w + 5) + 25 Combine like terms: -7 + -8 = -15 -15 + -7w + -1w = -8(w + 5) + 25 Combine like terms: -7w + -1w = -8w -15 + -8w = -8(w + 5) + 25 Reorder the terms: -15 + -8w = -8(5 + w) + 25 -15 + -8w = (5 * -8 + w * -8) + 25 -15 + -8w = (-40 + -8w) + 25 Reorder the terms: -15 + -8w = -40 + 25 + -8w Combine like terms: -40 + 25 = -15 -15 + -8w = -15 + -8w Add '15' to each side of the equation. -15 + 15 + -8w = -15 + 15 + -8w Combine like terms: -15 + 15 = 0 0 + -8w = -15 + 15 + -8w -8w = -15 + 15 + -8w Combine like terms: -15 + 15 = 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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