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Simplifying 5(2w + -1) + -2(3w + 2) = 4w + -9 Reorder the terms: 5(-1 + 2w) + -2(3w + 2) = 4w + -9 (-1 * 5 + 2w * 5) + -2(3w + 2) = 4w + -9 (-5 + 10w) + -2(3w + 2) = 4w + -9 Reorder the terms: -5 + 10w + -2(2 + 3w) = 4w + -9 -5 + 10w + (2 * -2 + 3w * -2) = 4w + -9 -5 + 10w + (-4 + -6w) = 4w + -9 Reorder the terms: -5 + -4 + 10w + -6w = 4w + -9 Combine like terms: -5 + -4 = -9 -9 + 10w + -6w = 4w + -9 Combine like terms: 10w + -6w = 4w -9 + 4w = 4w + -9 Reorder the terms: -9 + 4w = -9 + 4w Add '9' to each side of the equation. -9 + 9 + 4w = -9 + 9 + 4w Combine like terms: -9 + 9 = 0 0 + 4w = -9 + 9 + 4w 4w = -9 + 9 + 4w Combine like terms: -9 + 9 = 0 4w = 0 + 4w 4w = 4w Add '-4w' to each side of the equation. 4w + -4w = 4w + -4w Combine like terms: 4w + -4w = 0 0 = 4w + -4w Combine like terms: 4w + -4w = 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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