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Simplifying 4(w + -3) = 2(w + -1) + (2w + -10) Reorder the terms: 4(-3 + w) = 2(w + -1) + (2w + -10) (-3 * 4 + w * 4) = 2(w + -1) + (2w + -10) (-12 + 4w) = 2(w + -1) + (2w + -10) Reorder the terms: -12 + 4w = 2(-1 + w) + (2w + -10) -12 + 4w = (-1 * 2 + w * 2) + (2w + -10) -12 + 4w = (-2 + 2w) + (2w + -10) Reorder the terms: -12 + 4w = -2 + 2w + (-10 + 2w) Remove parenthesis around (-10 + 2w) -12 + 4w = -2 + 2w + -10 + 2w Reorder the terms: -12 + 4w = -2 + -10 + 2w + 2w Combine like terms: -2 + -10 = -12 -12 + 4w = -12 + 2w + 2w Combine like terms: 2w + 2w = 4w -12 + 4w = -12 + 4w Add '12' to each side of the equation. -12 + 12 + 4w = -12 + 12 + 4w Combine like terms: -12 + 12 = 0 0 + 4w = -12 + 12 + 4w 4w = -12 + 12 + 4w Combine like terms: -12 + 12 = 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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