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Simplifying 16p + -4 = 4(2p + -3) + 24 Reorder the terms: -4 + 16p = 4(2p + -3) + 24 Reorder the terms: -4 + 16p = 4(-3 + 2p) + 24 -4 + 16p = (-3 * 4 + 2p * 4) + 24 -4 + 16p = (-12 + 8p) + 24 Reorder the terms: -4 + 16p = -12 + 24 + 8p Combine like terms: -12 + 24 = 12 -4 + 16p = 12 + 8p Solving -4 + 16p = 12 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -4 + 16p + -8p = 12 + 8p + -8p Combine like terms: 16p + -8p = 8p -4 + 8p = 12 + 8p + -8p Combine like terms: 8p + -8p = 0 -4 + 8p = 12 + 0 -4 + 8p = 12 Add '4' to each side of the equation. -4 + 4 + 8p = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8p = 12 + 4 8p = 12 + 4 Combine like terms: 12 + 4 = 16 8p = 16 Divide each side by '8'. p = 2 Simplifying p = 2
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