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Simplifying 6 + -5(1 + 2p) = 19 + -7p 6 + (1 * -5 + 2p * -5) = 19 + -7p 6 + (-5 + -10p) = 19 + -7p Combine like terms: 6 + -5 = 1 1 + -10p = 19 + -7p Solving 1 + -10p = 19 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 1 + -10p + 7p = 19 + -7p + 7p Combine like terms: -10p + 7p = -3p 1 + -3p = 19 + -7p + 7p Combine like terms: -7p + 7p = 0 1 + -3p = 19 + 0 1 + -3p = 19 Add '-1' to each side of the equation. 1 + -1 + -3p = 19 + -1 Combine like terms: 1 + -1 = 0 0 + -3p = 19 + -1 -3p = 19 + -1 Combine like terms: 19 + -1 = 18 -3p = 18 Divide each side by '-3'. p = -6 Simplifying p = -6
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