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Simplifying 10p + -3 = 12(12 + 4p) + -7 Reorder the terms: -3 + 10p = 12(12 + 4p) + -7 -3 + 10p = (12 * 12 + 4p * 12) + -7 -3 + 10p = (144 + 48p) + -7 Reorder the terms: -3 + 10p = 144 + -7 + 48p Combine like terms: 144 + -7 = 137 -3 + 10p = 137 + 48p Solving -3 + 10p = 137 + 48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48p' to each side of the equation. -3 + 10p + -48p = 137 + 48p + -48p Combine like terms: 10p + -48p = -38p -3 + -38p = 137 + 48p + -48p Combine like terms: 48p + -48p = 0 -3 + -38p = 137 + 0 -3 + -38p = 137 Add '3' to each side of the equation. -3 + 3 + -38p = 137 + 3 Combine like terms: -3 + 3 = 0 0 + -38p = 137 + 3 -38p = 137 + 3 Combine like terms: 137 + 3 = 140 -38p = 140 Divide each side by '-38'. p = -3.684210526 Simplifying p = -3.684210526
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