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Simplifying -6(w + 1) + -1w + -13 = -7(w + 5) + 16 Reorder the terms: -6(1 + w) + -1w + -13 = -7(w + 5) + 16 (1 * -6 + w * -6) + -1w + -13 = -7(w + 5) + 16 (-6 + -6w) + -1w + -13 = -7(w + 5) + 16 Reorder the terms: -6 + -13 + -6w + -1w = -7(w + 5) + 16 Combine like terms: -6 + -13 = -19 -19 + -6w + -1w = -7(w + 5) + 16 Combine like terms: -6w + -1w = -7w -19 + -7w = -7(w + 5) + 16 Reorder the terms: -19 + -7w = -7(5 + w) + 16 -19 + -7w = (5 * -7 + w * -7) + 16 -19 + -7w = (-35 + -7w) + 16 Reorder the terms: -19 + -7w = -35 + 16 + -7w Combine like terms: -35 + 16 = -19 -19 + -7w = -19 + -7w Add '19' to each side of the equation. -19 + 19 + -7w = -19 + 19 + -7w Combine like terms: -19 + 19 = 0 0 + -7w = -19 + 19 + -7w -7w = -19 + 19 + -7w Combine like terms: -19 + 19 = 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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