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Simplifying 3(z + 12) + -7z + 2 = 2(19 + -2z) Reorder the terms: 3(12 + z) + -7z + 2 = 2(19 + -2z) (12 * 3 + z * 3) + -7z + 2 = 2(19 + -2z) (36 + 3z) + -7z + 2 = 2(19 + -2z) Reorder the terms: 36 + 2 + 3z + -7z = 2(19 + -2z) Combine like terms: 36 + 2 = 38 38 + 3z + -7z = 2(19 + -2z) Combine like terms: 3z + -7z = -4z 38 + -4z = 2(19 + -2z) 38 + -4z = (19 * 2 + -2z * 2) 38 + -4z = (38 + -4z) Add '-38' to each side of the equation. 38 + -38 + -4z = 38 + -38 + -4z Combine like terms: 38 + -38 = 0 0 + -4z = 38 + -38 + -4z -4z = 38 + -38 + -4z Combine like terms: 38 + -38 = 0 -4z = 0 + -4z -4z = -4z Add '4z' to each side of the equation. -4z + 4z = -4z + 4z Combine like terms: -4z + 4z = 0 0 = -4z + 4z Combine like terms: -4z + 4z = 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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