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Simplifying 4(2p + -3) + 5(3p + -4) = 14 Reorder the terms: 4(-3 + 2p) + 5(3p + -4) = 14 (-3 * 4 + 2p * 4) + 5(3p + -4) = 14 (-12 + 8p) + 5(3p + -4) = 14 Reorder the terms: -12 + 8p + 5(-4 + 3p) = 14 -12 + 8p + (-4 * 5 + 3p * 5) = 14 -12 + 8p + (-20 + 15p) = 14 Reorder the terms: -12 + -20 + 8p + 15p = 14 Combine like terms: -12 + -20 = -32 -32 + 8p + 15p = 14 Combine like terms: 8p + 15p = 23p -32 + 23p = 14 Solving -32 + 23p = 14 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 23p = 14 + 32 Combine like terms: -32 + 32 = 0 0 + 23p = 14 + 32 23p = 14 + 32 Combine like terms: 14 + 32 = 46 23p = 46 Divide each side by '23'. p = 2 Simplifying p = 2
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