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Simplifying 3(4w + -5) = 2(6w + 1) + -17 Reorder the terms: 3(-5 + 4w) = 2(6w + 1) + -17 (-5 * 3 + 4w * 3) = 2(6w + 1) + -17 (-15 + 12w) = 2(6w + 1) + -17 Reorder the terms: -15 + 12w = 2(1 + 6w) + -17 -15 + 12w = (1 * 2 + 6w * 2) + -17 -15 + 12w = (2 + 12w) + -17 Reorder the terms: -15 + 12w = 2 + -17 + 12w Combine like terms: 2 + -17 = -15 -15 + 12w = -15 + 12w Add '15' to each side of the equation. -15 + 15 + 12w = -15 + 15 + 12w Combine like terms: -15 + 15 = 0 0 + 12w = -15 + 15 + 12w 12w = -15 + 15 + 12w Combine like terms: -15 + 15 = 0 12w = 0 + 12w 12w = 12w Add '-12w' to each side of the equation. 12w + -12w = 12w + -12w Combine like terms: 12w + -12w = 0 0 = 12w + -12w Combine like terms: 12w + -12w = 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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