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Simplifying 4(5p + 7) + -4p = 6(5 + 3p) + -2(p + 1) Reorder the terms: 4(7 + 5p) + -4p = 6(5 + 3p) + -2(p + 1) (7 * 4 + 5p * 4) + -4p = 6(5 + 3p) + -2(p + 1) (28 + 20p) + -4p = 6(5 + 3p) + -2(p + 1) Combine like terms: 20p + -4p = 16p 28 + 16p = 6(5 + 3p) + -2(p + 1) 28 + 16p = (5 * 6 + 3p * 6) + -2(p + 1) 28 + 16p = (30 + 18p) + -2(p + 1) Reorder the terms: 28 + 16p = 30 + 18p + -2(1 + p) 28 + 16p = 30 + 18p + (1 * -2 + p * -2) 28 + 16p = 30 + 18p + (-2 + -2p) Reorder the terms: 28 + 16p = 30 + -2 + 18p + -2p Combine like terms: 30 + -2 = 28 28 + 16p = 28 + 18p + -2p Combine like terms: 18p + -2p = 16p 28 + 16p = 28 + 16p Add '-28' to each side of the equation. 28 + -28 + 16p = 28 + -28 + 16p Combine like terms: 28 + -28 = 0 0 + 16p = 28 + -28 + 16p 16p = 28 + -28 + 16p Combine like terms: 28 + -28 = 0 16p = 0 + 16p 16p = 16p Add '-16p' to each side of the equation. 16p + -16p = 16p + -16p Combine like terms: 16p + -16p = 0 0 = 16p + -16p Combine like terms: 16p + -16p = 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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