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Simplifying 6[w + 1] + -10 = 4[w + -1] + 2w Reorder the terms: 6[1 + w] + -10 = 4[w + -1] + 2w [1 * 6 + w * 6] + -10 = 4[w + -1] + 2w [6 + 6w] + -10 = 4[w + -1] + 2w Reorder the terms: 6 + -10 + 6w = 4[w + -1] + 2w Combine like terms: 6 + -10 = -4 -4 + 6w = 4[w + -1] + 2w Reorder the terms: -4 + 6w = 4[-1 + w] + 2w -4 + 6w = [-1 * 4 + w * 4] + 2w -4 + 6w = [-4 + 4w] + 2w Combine like terms: 4w + 2w = 6w -4 + 6w = -4 + 6w Add '4' to each side of the equation. -4 + 4 + 6w = -4 + 4 + 6w Combine like terms: -4 + 4 = 0 0 + 6w = -4 + 4 + 6w 6w = -4 + 4 + 6w Combine like terms: -4 + 4 = 0 6w = 0 + 6w 6w = 6w Add '-6w' to each side of the equation. 6w + -6w = 6w + -6w Combine like terms: 6w + -6w = 0 0 = 6w + -6w Combine like terms: 6w + -6w = 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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