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Simplifying 4(-2w + 1) + 3 = 8(-1w + -5) + 47 Reorder the terms: 4(1 + -2w) + 3 = 8(-1w + -5) + 47 (1 * 4 + -2w * 4) + 3 = 8(-1w + -5) + 47 (4 + -8w) + 3 = 8(-1w + -5) + 47 Reorder the terms: 4 + 3 + -8w = 8(-1w + -5) + 47 Combine like terms: 4 + 3 = 7 7 + -8w = 8(-1w + -5) + 47 Reorder the terms: 7 + -8w = 8(-5 + -1w) + 47 7 + -8w = (-5 * 8 + -1w * 8) + 47 7 + -8w = (-40 + -8w) + 47 Reorder the terms: 7 + -8w = -40 + 47 + -8w Combine like terms: -40 + 47 = 7 7 + -8w = 7 + -8w Add '-7' to each side of the equation. 7 + -7 + -8w = 7 + -7 + -8w Combine like terms: 7 + -7 = 0 0 + -8w = 7 + -7 + -8w -8w = 7 + -7 + -8w Combine like terms: 7 + -7 = 0 -8w = 0 + -8w -8w = -8w Add '8w' to each side of the equation. -8w + 8w = -8w + 8w Combine like terms: -8w + 8w = 0 0 = -8w + 8w Combine like terms: -8w + 8w = 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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