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Simplifying 4(2p + -3) + -3(3p + 1) = -18 + -1p + 3 Reorder the terms: 4(-3 + 2p) + -3(3p + 1) = -18 + -1p + 3 (-3 * 4 + 2p * 4) + -3(3p + 1) = -18 + -1p + 3 (-12 + 8p) + -3(3p + 1) = -18 + -1p + 3 Reorder the terms: -12 + 8p + -3(1 + 3p) = -18 + -1p + 3 -12 + 8p + (1 * -3 + 3p * -3) = -18 + -1p + 3 -12 + 8p + (-3 + -9p) = -18 + -1p + 3 Reorder the terms: -12 + -3 + 8p + -9p = -18 + -1p + 3 Combine like terms: -12 + -3 = -15 -15 + 8p + -9p = -18 + -1p + 3 Combine like terms: 8p + -9p = -1p -15 + -1p = -18 + -1p + 3 Reorder the terms: -15 + -1p = -18 + 3 + -1p Combine like terms: -18 + 3 = -15 -15 + -1p = -15 + -1p Add '15' to each side of the equation. -15 + 15 + -1p = -15 + 15 + -1p Combine like terms: -15 + 15 = 0 0 + -1p = -15 + 15 + -1p -1p = -15 + 15 + -1p Combine like terms: -15 + 15 = 0 -1p = 0 + -1p -1p = -1p Add 'p' to each side of the equation. -1p + p = -1p + p Combine like terms: -1p + p = 0 0 = -1p + p Combine like terms: -1p + p = 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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