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Simplifying 5p + -3(6 + -4p) = 7p + -4 5p + (6 * -3 + -4p * -3) = 7p + -4 5p + (-18 + 12p) = 7p + -4 Reorder the terms: -18 + 5p + 12p = 7p + -4 Combine like terms: 5p + 12p = 17p -18 + 17p = 7p + -4 Reorder the terms: -18 + 17p = -4 + 7p Solving -18 + 17p = -4 + 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. -18 + 17p + -7p = -4 + 7p + -7p Combine like terms: 17p + -7p = 10p -18 + 10p = -4 + 7p + -7p Combine like terms: 7p + -7p = 0 -18 + 10p = -4 + 0 -18 + 10p = -4 Add '18' to each side of the equation. -18 + 18 + 10p = -4 + 18 Combine like terms: -18 + 18 = 0 0 + 10p = -4 + 18 10p = -4 + 18 Combine like terms: -4 + 18 = 14 10p = 14 Divide each side by '10'. p = 1.4 Simplifying p = 1.4
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