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Simplifying 14 + -2(3p + 1) = 6(4 + 21) Reorder the terms: 14 + -2(1 + 3p) = 6(4 + 21) 14 + (1 * -2 + 3p * -2) = 6(4 + 21) 14 + (-2 + -6p) = 6(4 + 21) Combine like terms: 14 + -2 = 12 12 + -6p = 6(4 + 21) Combine like terms: 4 + 21 = 25 12 + -6p = 6(25) Multiply 6 * 25 12 + -6p = 150 Solving 12 + -6p = 150 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -6p = 150 + -12 Combine like terms: 12 + -12 = 0 0 + -6p = 150 + -12 -6p = 150 + -12 Combine like terms: 150 + -12 = 138 -6p = 138 Divide each side by '-6'. p = -23 Simplifying p = -23
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