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Simplifying 10 + -4(p + 7) = 2(1 + -9) Reorder the terms: 10 + -4(7 + p) = 2(1 + -9) 10 + (7 * -4 + p * -4) = 2(1 + -9) 10 + (-28 + -4p) = 2(1 + -9) Combine like terms: 10 + -28 = -18 -18 + -4p = 2(1 + -9) Combine like terms: 1 + -9 = -8 -18 + -4p = 2(-8) Multiply 2 * -8 -18 + -4p = -16 Solving -18 + -4p = -16 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -4p = -16 + 18 Combine like terms: -18 + 18 = 0 0 + -4p = -16 + 18 -4p = -16 + 18 Combine like terms: -16 + 18 = 2 -4p = 2 Divide each side by '-4'. p = -0.5 Simplifying p = -0.5
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