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Simplifying 7(1 + -4p) + 5 = 3p + -19 (1 * 7 + -4p * 7) + 5 = 3p + -19 (7 + -28p) + 5 = 3p + -19 Reorder the terms: 7 + 5 + -28p = 3p + -19 Combine like terms: 7 + 5 = 12 12 + -28p = 3p + -19 Reorder the terms: 12 + -28p = -19 + 3p Solving 12 + -28p = -19 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 12 + -28p + -3p = -19 + 3p + -3p Combine like terms: -28p + -3p = -31p 12 + -31p = -19 + 3p + -3p Combine like terms: 3p + -3p = 0 12 + -31p = -19 + 0 12 + -31p = -19 Add '-12' to each side of the equation. 12 + -12 + -31p = -19 + -12 Combine like terms: 12 + -12 = 0 0 + -31p = -19 + -12 -31p = -19 + -12 Combine like terms: -19 + -12 = -31 -31p = -31 Divide each side by '-31'. p = 1 Simplifying p = 1
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