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Simplifying -6(w + 7) + 12 = -10 + 3(-2w + -5) + -5 Reorder the terms: -6(7 + w) + 12 = -10 + 3(-2w + -5) + -5 (7 * -6 + w * -6) + 12 = -10 + 3(-2w + -5) + -5 (-42 + -6w) + 12 = -10 + 3(-2w + -5) + -5 Reorder the terms: -42 + 12 + -6w = -10 + 3(-2w + -5) + -5 Combine like terms: -42 + 12 = -30 -30 + -6w = -10 + 3(-2w + -5) + -5 Reorder the terms: -30 + -6w = -10 + 3(-5 + -2w) + -5 -30 + -6w = -10 + (-5 * 3 + -2w * 3) + -5 -30 + -6w = -10 + (-15 + -6w) + -5 Reorder the terms: -30 + -6w = -10 + -15 + -5 + -6w Combine like terms: -10 + -15 = -25 -30 + -6w = -25 + -5 + -6w Combine like terms: -25 + -5 = -30 -30 + -6w = -30 + -6w Add '30' to each side of the equation. -30 + 30 + -6w = -30 + 30 + -6w Combine like terms: -30 + 30 = 0 0 + -6w = -30 + 30 + -6w -6w = -30 + 30 + -6w Combine like terms: -30 + 30 = 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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