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Simplifying -7(4p + 2) = 5(2p + 1) Reorder the terms: -7(2 + 4p) = 5(2p + 1) (2 * -7 + 4p * -7) = 5(2p + 1) (-14 + -28p) = 5(2p + 1) Reorder the terms: -14 + -28p = 5(1 + 2p) -14 + -28p = (1 * 5 + 2p * 5) -14 + -28p = (5 + 10p) Solving -14 + -28p = 5 + 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. -14 + -28p + -10p = 5 + 10p + -10p Combine like terms: -28p + -10p = -38p -14 + -38p = 5 + 10p + -10p Combine like terms: 10p + -10p = 0 -14 + -38p = 5 + 0 -14 + -38p = 5 Add '14' to each side of the equation. -14 + 14 + -38p = 5 + 14 Combine like terms: -14 + 14 = 0 0 + -38p = 5 + 14 -38p = 5 + 14 Combine like terms: 5 + 14 = 19 -38p = 19 Divide each side by '-38'. p = -0.5 Simplifying p = -0.5
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