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Simplifying 7(p + -4) + 4 = 9p + -2(p + 12) Reorder the terms: 7(-4 + p) + 4 = 9p + -2(p + 12) (-4 * 7 + p * 7) + 4 = 9p + -2(p + 12) (-28 + 7p) + 4 = 9p + -2(p + 12) Reorder the terms: -28 + 4 + 7p = 9p + -2(p + 12) Combine like terms: -28 + 4 = -24 -24 + 7p = 9p + -2(p + 12) Reorder the terms: -24 + 7p = 9p + -2(12 + p) -24 + 7p = 9p + (12 * -2 + p * -2) -24 + 7p = 9p + (-24 + -2p) Reorder the terms: -24 + 7p = -24 + 9p + -2p Combine like terms: 9p + -2p = 7p -24 + 7p = -24 + 7p Add '24' to each side of the equation. -24 + 24 + 7p = -24 + 24 + 7p Combine like terms: -24 + 24 = 0 0 + 7p = -24 + 24 + 7p 7p = -24 + 24 + 7p Combine like terms: -24 + 24 = 0 7p = 0 + 7p 7p = 7p Add '-7p' to each side of the equation. 7p + -7p = 7p + -7p Combine like terms: 7p + -7p = 0 0 = 7p + -7p Combine like terms: 7p + -7p = 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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