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Simplifying -6(w + 2) + -1w + -5 = -7(w + 3) + 4 Reorder the terms: -6(2 + w) + -1w + -5 = -7(w + 3) + 4 (2 * -6 + w * -6) + -1w + -5 = -7(w + 3) + 4 (-12 + -6w) + -1w + -5 = -7(w + 3) + 4 Reorder the terms: -12 + -5 + -6w + -1w = -7(w + 3) + 4 Combine like terms: -12 + -5 = -17 -17 + -6w + -1w = -7(w + 3) + 4 Combine like terms: -6w + -1w = -7w -17 + -7w = -7(w + 3) + 4 Reorder the terms: -17 + -7w = -7(3 + w) + 4 -17 + -7w = (3 * -7 + w * -7) + 4 -17 + -7w = (-21 + -7w) + 4 Reorder the terms: -17 + -7w = -21 + 4 + -7w Combine like terms: -21 + 4 = -17 -17 + -7w = -17 + -7w Add '17' to each side of the equation. -17 + 17 + -7w = -17 + 17 + -7w Combine like terms: -17 + 17 = 0 0 + -7w = -17 + 17 + -7w -7w = -17 + 17 + -7w Combine like terms: -17 + 17 = 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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