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Simplifying 5(4w + 3) + -12 = 5(4w + -3) + 18 Reorder the terms: 5(3 + 4w) + -12 = 5(4w + -3) + 18 (3 * 5 + 4w * 5) + -12 = 5(4w + -3) + 18 (15 + 20w) + -12 = 5(4w + -3) + 18 Reorder the terms: 15 + -12 + 20w = 5(4w + -3) + 18 Combine like terms: 15 + -12 = 3 3 + 20w = 5(4w + -3) + 18 Reorder the terms: 3 + 20w = 5(-3 + 4w) + 18 3 + 20w = (-3 * 5 + 4w * 5) + 18 3 + 20w = (-15 + 20w) + 18 Reorder the terms: 3 + 20w = -15 + 18 + 20w Combine like terms: -15 + 18 = 3 3 + 20w = 3 + 20w Add '-3' to each side of the equation. 3 + -3 + 20w = 3 + -3 + 20w Combine like terms: 3 + -3 = 0 0 + 20w = 3 + -3 + 20w 20w = 3 + -3 + 20w Combine like terms: 3 + -3 = 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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