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Simplifying -3(2p + 1) + 4(2p + -3) = 2p + -15 Reorder the terms: -3(1 + 2p) + 4(2p + -3) = 2p + -15 (1 * -3 + 2p * -3) + 4(2p + -3) = 2p + -15 (-3 + -6p) + 4(2p + -3) = 2p + -15 Reorder the terms: -3 + -6p + 4(-3 + 2p) = 2p + -15 -3 + -6p + (-3 * 4 + 2p * 4) = 2p + -15 -3 + -6p + (-12 + 8p) = 2p + -15 Reorder the terms: -3 + -12 + -6p + 8p = 2p + -15 Combine like terms: -3 + -12 = -15 -15 + -6p + 8p = 2p + -15 Combine like terms: -6p + 8p = 2p -15 + 2p = 2p + -15 Reorder the terms: -15 + 2p = -15 + 2p Add '15' to each side of the equation. -15 + 15 + 2p = -15 + 15 + 2p Combine like terms: -15 + 15 = 0 0 + 2p = -15 + 15 + 2p 2p = -15 + 15 + 2p Combine like terms: -15 + 15 = 0 2p = 0 + 2p 2p = 2p Add '-2p' to each side of the equation. 2p + -2p = 2p + -2p Combine like terms: 2p + -2p = 0 0 = 2p + -2p Combine like terms: 2p + -2p = 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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