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Simplifying 10 + -4(p + 7) = 3(1 + -1p) Reorder the terms: 10 + -4(7 + p) = 3(1 + -1p) 10 + (7 * -4 + p * -4) = 3(1 + -1p) 10 + (-28 + -4p) = 3(1 + -1p) Combine like terms: 10 + -28 = -18 -18 + -4p = 3(1 + -1p) -18 + -4p = (1 * 3 + -1p * 3) -18 + -4p = (3 + -3p) Solving -18 + -4p = 3 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -18 + -4p + 3p = 3 + -3p + 3p Combine like terms: -4p + 3p = -1p -18 + -1p = 3 + -3p + 3p Combine like terms: -3p + 3p = 0 -18 + -1p = 3 + 0 -18 + -1p = 3 Add '18' to each side of the equation. -18 + 18 + -1p = 3 + 18 Combine like terms: -18 + 18 = 0 0 + -1p = 3 + 18 -1p = 3 + 18 Combine like terms: 3 + 18 = 21 -1p = 21 Divide each side by '-1'. p = -21 Simplifying p = -21
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