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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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