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Simplifying 18 + -3(2p + 4) + -3p = 3(2 + -3p) Reorder the terms: 18 + -3(4 + 2p) + -3p = 3(2 + -3p) 18 + (4 * -3 + 2p * -3) + -3p = 3(2 + -3p) 18 + (-12 + -6p) + -3p = 3(2 + -3p) Combine like terms: 18 + -12 = 6 6 + -6p + -3p = 3(2 + -3p) Combine like terms: -6p + -3p = -9p 6 + -9p = 3(2 + -3p) 6 + -9p = (2 * 3 + -3p * 3) 6 + -9p = (6 + -9p) Add '-6' to each side of the equation. 6 + -6 + -9p = 6 + -6 + -9p Combine like terms: 6 + -6 = 0 0 + -9p = 6 + -6 + -9p -9p = 6 + -6 + -9p Combine like terms: 6 + -6 = 0 -9p = 0 + -9p -9p = -9p Add '9p' to each side of the equation. -9p + 9p = -9p + 9p Combine like terms: -9p + 9p = 0 0 = -9p + 9p Combine like terms: -9p + 9p = 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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