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Simplifying -6(w + 1) + -1w + -7 = -7(w + 4) + 15 Reorder the terms: -6(1 + w) + -1w + -7 = -7(w + 4) + 15 (1 * -6 + w * -6) + -1w + -7 = -7(w + 4) + 15 (-6 + -6w) + -1w + -7 = -7(w + 4) + 15 Reorder the terms: -6 + -7 + -6w + -1w = -7(w + 4) + 15 Combine like terms: -6 + -7 = -13 -13 + -6w + -1w = -7(w + 4) + 15 Combine like terms: -6w + -1w = -7w -13 + -7w = -7(w + 4) + 15 Reorder the terms: -13 + -7w = -7(4 + w) + 15 -13 + -7w = (4 * -7 + w * -7) + 15 -13 + -7w = (-28 + -7w) + 15 Reorder the terms: -13 + -7w = -28 + 15 + -7w Combine like terms: -28 + 15 = -13 -13 + -7w = -13 + -7w Add '13' to each side of the equation. -13 + 13 + -7w = -13 + 13 + -7w Combine like terms: -13 + 13 = 0 0 + -7w = -13 + 13 + -7w -7w = -13 + 13 + -7w Combine like terms: -13 + 13 = 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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