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Simplifying 3(7w + -5) + -1w = -7 + 4(5w + -2) Reorder the terms: 3(-5 + 7w) + -1w = -7 + 4(5w + -2) (-5 * 3 + 7w * 3) + -1w = -7 + 4(5w + -2) (-15 + 21w) + -1w = -7 + 4(5w + -2) Combine like terms: 21w + -1w = 20w -15 + 20w = -7 + 4(5w + -2) Reorder the terms: -15 + 20w = -7 + 4(-2 + 5w) -15 + 20w = -7 + (-2 * 4 + 5w * 4) -15 + 20w = -7 + (-8 + 20w) Combine like terms: -7 + -8 = -15 -15 + 20w = -15 + 20w Add '15' to each side of the equation. -15 + 15 + 20w = -15 + 15 + 20w Combine like terms: -15 + 15 = 0 0 + 20w = -15 + 15 + 20w 20w = -15 + 15 + 20w Combine like terms: -15 + 15 = 0 20w = 0 + 20w 20w = 20w Add '-20w' to each side of the equation. 20w + -20w = 20w + -20w Combine like terms: 20w + -20w = 0 0 = 20w + -20w Combine like terms: 20w + -20w = 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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