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Simplifying 70 = 5(3p + 8) + 5(1 + 2p) Reorder the terms: 70 = 5(8 + 3p) + 5(1 + 2p) 70 = (8 * 5 + 3p * 5) + 5(1 + 2p) 70 = (40 + 15p) + 5(1 + 2p) 70 = 40 + 15p + (1 * 5 + 2p * 5) 70 = 40 + 15p + (5 + 10p) Reorder the terms: 70 = 40 + 5 + 15p + 10p Combine like terms: 40 + 5 = 45 70 = 45 + 15p + 10p Combine like terms: 15p + 10p = 25p 70 = 45 + 25p Solving 70 = 45 + 25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25p' to each side of the equation. 70 + -25p = 45 + 25p + -25p Combine like terms: 25p + -25p = 0 70 + -25p = 45 + 0 70 + -25p = 45 Add '-70' to each side of the equation. 70 + -70 + -25p = 45 + -70 Combine like terms: 70 + -70 = 0 0 + -25p = 45 + -70 -25p = 45 + -70 Combine like terms: 45 + -70 = -25 -25p = -25 Divide each side by '-25'. p = 1 Simplifying p = 1
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