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Simplifying -7(3p + 4) + -19 = 5(2p + 3) Reorder the terms: -7(4 + 3p) + -19 = 5(2p + 3) (4 * -7 + 3p * -7) + -19 = 5(2p + 3) (-28 + -21p) + -19 = 5(2p + 3) Reorder the terms: -28 + -19 + -21p = 5(2p + 3) Combine like terms: -28 + -19 = -47 -47 + -21p = 5(2p + 3) Reorder the terms: -47 + -21p = 5(3 + 2p) -47 + -21p = (3 * 5 + 2p * 5) -47 + -21p = (15 + 10p) Solving -47 + -21p = 15 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -47 + -21p + -10p = 15 + 10p + -10p Combine like terms: -21p + -10p = -31p -47 + -31p = 15 + 10p + -10p Combine like terms: 10p + -10p = 0 -47 + -31p = 15 + 0 -47 + -31p = 15 Add '47' to each side of the equation. -47 + 47 + -31p = 15 + 47 Combine like terms: -47 + 47 = 0 0 + -31p = 15 + 47 -31p = 15 + 47 Combine like terms: 15 + 47 = 62 -31p = 62 Divide each side by '-31'. p = -2 Simplifying p = -2
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