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Simplifying 8(7p + -1) + -1(2p + 14) = 20 + 19p Reorder the terms: 8(-1 + 7p) + -1(2p + 14) = 20 + 19p (-1 * 8 + 7p * 8) + -1(2p + 14) = 20 + 19p (-8 + 56p) + -1(2p + 14) = 20 + 19p Reorder the terms: -8 + 56p + -1(14 + 2p) = 20 + 19p -8 + 56p + (14 * -1 + 2p * -1) = 20 + 19p -8 + 56p + (-14 + -2p) = 20 + 19p Reorder the terms: -8 + -14 + 56p + -2p = 20 + 19p Combine like terms: -8 + -14 = -22 -22 + 56p + -2p = 20 + 19p Combine like terms: 56p + -2p = 54p -22 + 54p = 20 + 19p Solving -22 + 54p = 20 + 19p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-19p' to each side of the equation. -22 + 54p + -19p = 20 + 19p + -19p Combine like terms: 54p + -19p = 35p -22 + 35p = 20 + 19p + -19p Combine like terms: 19p + -19p = 0 -22 + 35p = 20 + 0 -22 + 35p = 20 Add '22' to each side of the equation. -22 + 22 + 35p = 20 + 22 Combine like terms: -22 + 22 = 0 0 + 35p = 20 + 22 35p = 20 + 22 Combine like terms: 20 + 22 = 42 35p = 42 Divide each side by '35'. p = 1.2 Simplifying p = 1.2
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