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Simplifying 4(6w + -2) + 13 = 12(2w + -3) + 41 Reorder the terms: 4(-2 + 6w) + 13 = 12(2w + -3) + 41 (-2 * 4 + 6w * 4) + 13 = 12(2w + -3) + 41 (-8 + 24w) + 13 = 12(2w + -3) + 41 Reorder the terms: -8 + 13 + 24w = 12(2w + -3) + 41 Combine like terms: -8 + 13 = 5 5 + 24w = 12(2w + -3) + 41 Reorder the terms: 5 + 24w = 12(-3 + 2w) + 41 5 + 24w = (-3 * 12 + 2w * 12) + 41 5 + 24w = (-36 + 24w) + 41 Reorder the terms: 5 + 24w = -36 + 41 + 24w Combine like terms: -36 + 41 = 5 5 + 24w = 5 + 24w Add '-5' to each side of the equation. 5 + -5 + 24w = 5 + -5 + 24w Combine like terms: 5 + -5 = 0 0 + 24w = 5 + -5 + 24w 24w = 5 + -5 + 24w Combine like terms: 5 + -5 = 0 24w = 0 + 24w 24w = 24w Add '-24w' to each side of the equation. 24w + -24w = 24w + -24w Combine like terms: 24w + -24w = 0 0 = 24w + -24w Combine like terms: 24w + -24w = 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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