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Simplifying 16(z + 3) = 4(z + 9) + 12z + 12 Reorder the terms: 16(3 + z) = 4(z + 9) + 12z + 12 (3 * 16 + z * 16) = 4(z + 9) + 12z + 12 (48 + 16z) = 4(z + 9) + 12z + 12 Reorder the terms: 48 + 16z = 4(9 + z) + 12z + 12 48 + 16z = (9 * 4 + z * 4) + 12z + 12 48 + 16z = (36 + 4z) + 12z + 12 Reorder the terms: 48 + 16z = 36 + 12 + 4z + 12z Combine like terms: 36 + 12 = 48 48 + 16z = 48 + 4z + 12z Combine like terms: 4z + 12z = 16z 48 + 16z = 48 + 16z Add '-48' to each side of the equation. 48 + -48 + 16z = 48 + -48 + 16z Combine like terms: 48 + -48 = 0 0 + 16z = 48 + -48 + 16z 16z = 48 + -48 + 16z Combine like terms: 48 + -48 = 0 16z = 0 + 16z 16z = 16z Add '-16z' to each side of the equation. 16z + -16z = 16z + -16z Combine like terms: 16z + -16z = 0 0 = 16z + -16z Combine like terms: 16z + -16z = 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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