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Simplifying 2(5p + -5) = -4[2p + 2(p + 4)] Reorder the terms: 2(-5 + 5p) = -4[2p + 2(p + 4)] (-5 * 2 + 5p * 2) = -4[2p + 2(p + 4)] (-10 + 10p) = -4[2p + 2(p + 4)] Reorder the terms: -10 + 10p = -4[2p + 2(4 + p)] -10 + 10p = -4[2p + (4 * 2 + p * 2)] -10 + 10p = -4[2p + (8 + 2p)] Reorder the terms: -10 + 10p = -4[8 + 2p + 2p] Combine like terms: 2p + 2p = 4p -10 + 10p = -4[8 + 4p] -10 + 10p = [8 * -4 + 4p * -4] -10 + 10p = [-32 + -16p] Solving -10 + 10p = -32 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. -10 + 10p + 16p = -32 + -16p + 16p Combine like terms: 10p + 16p = 26p -10 + 26p = -32 + -16p + 16p Combine like terms: -16p + 16p = 0 -10 + 26p = -32 + 0 -10 + 26p = -32 Add '10' to each side of the equation. -10 + 10 + 26p = -32 + 10 Combine like terms: -10 + 10 = 0 0 + 26p = -32 + 10 26p = -32 + 10 Combine like terms: -32 + 10 = -22 26p = -22 Divide each side by '26'. p = -0.8461538462 Simplifying p = -0.8461538462
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