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Simplifying 7(1 + p) + -1 = 3p + -2 + 4(p + 2) (1 * 7 + p * 7) + -1 = 3p + -2 + 4(p + 2) (7 + 7p) + -1 = 3p + -2 + 4(p + 2) Reorder the terms: 7 + -1 + 7p = 3p + -2 + 4(p + 2) Combine like terms: 7 + -1 = 6 6 + 7p = 3p + -2 + 4(p + 2) Reorder the terms: 6 + 7p = 3p + -2 + 4(2 + p) 6 + 7p = 3p + -2 + (2 * 4 + p * 4) 6 + 7p = 3p + -2 + (8 + 4p) Reorder the terms: 6 + 7p = -2 + 8 + 3p + 4p Combine like terms: -2 + 8 = 6 6 + 7p = 6 + 3p + 4p Combine like terms: 3p + 4p = 7p 6 + 7p = 6 + 7p Add '-6' to each side of the equation. 6 + -6 + 7p = 6 + -6 + 7p Combine like terms: 6 + -6 = 0 0 + 7p = 6 + -6 + 7p 7p = 6 + -6 + 7p Combine like terms: 6 + -6 = 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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