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Simplifying 4(p + -7) + 6(p + -23) = 14 Reorder the terms: 4(-7 + p) + 6(p + -23) = 14 (-7 * 4 + p * 4) + 6(p + -23) = 14 (-28 + 4p) + 6(p + -23) = 14 Reorder the terms: -28 + 4p + 6(-23 + p) = 14 -28 + 4p + (-23 * 6 + p * 6) = 14 -28 + 4p + (-138 + 6p) = 14 Reorder the terms: -28 + -138 + 4p + 6p = 14 Combine like terms: -28 + -138 = -166 -166 + 4p + 6p = 14 Combine like terms: 4p + 6p = 10p -166 + 10p = 14 Solving -166 + 10p = 14 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '166' to each side of the equation. -166 + 166 + 10p = 14 + 166 Combine like terms: -166 + 166 = 0 0 + 10p = 14 + 166 10p = 14 + 166 Combine like terms: 14 + 166 = 180 10p = 180 Divide each side by '10'. p = 18 Simplifying p = 18
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