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Simplifying 4(2p + 3) = -2[3p + 5(p + 5)] Reorder the terms: 4(3 + 2p) = -2[3p + 5(p + 5)] (3 * 4 + 2p * 4) = -2[3p + 5(p + 5)] (12 + 8p) = -2[3p + 5(p + 5)] Reorder the terms: 12 + 8p = -2[3p + 5(5 + p)] 12 + 8p = -2[3p + (5 * 5 + p * 5)] 12 + 8p = -2[3p + (25 + 5p)] Reorder the terms: 12 + 8p = -2[25 + 3p + 5p] Combine like terms: 3p + 5p = 8p 12 + 8p = -2[25 + 8p] 12 + 8p = [25 * -2 + 8p * -2] 12 + 8p = [-50 + -16p] Solving 12 + 8p = -50 + -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. 12 + 8p + 16p = -50 + -16p + 16p Combine like terms: 8p + 16p = 24p 12 + 24p = -50 + -16p + 16p Combine like terms: -16p + 16p = 0 12 + 24p = -50 + 0 12 + 24p = -50 Add '-12' to each side of the equation. 12 + -12 + 24p = -50 + -12 Combine like terms: 12 + -12 = 0 0 + 24p = -50 + -12 24p = -50 + -12 Combine like terms: -50 + -12 = -62 24p = -62 Divide each side by '24'. p = -2.583333333 Simplifying p = -2.583333333
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