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Simplifying 4(3p + 8) + 2(5p + 3) = 114 Reorder the terms: 4(8 + 3p) + 2(5p + 3) = 114 (8 * 4 + 3p * 4) + 2(5p + 3) = 114 (32 + 12p) + 2(5p + 3) = 114 Reorder the terms: 32 + 12p + 2(3 + 5p) = 114 32 + 12p + (3 * 2 + 5p * 2) = 114 32 + 12p + (6 + 10p) = 114 Reorder the terms: 32 + 6 + 12p + 10p = 114 Combine like terms: 32 + 6 = 38 38 + 12p + 10p = 114 Combine like terms: 12p + 10p = 22p 38 + 22p = 114 Solving 38 + 22p = 114 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 22p = 114 + -38 Combine like terms: 38 + -38 = 0 0 + 22p = 114 + -38 22p = 114 + -38 Combine like terms: 114 + -38 = 76 22p = 76 Divide each side by '22'. p = 3.454545455 Simplifying p = 3.454545455
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