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Simplifying -14(p + 1) + 4(p + -7) = -3 + -1p Reorder the terms: -14(1 + p) + 4(p + -7) = -3 + -1p (1 * -14 + p * -14) + 4(p + -7) = -3 + -1p (-14 + -14p) + 4(p + -7) = -3 + -1p Reorder the terms: -14 + -14p + 4(-7 + p) = -3 + -1p -14 + -14p + (-7 * 4 + p * 4) = -3 + -1p -14 + -14p + (-28 + 4p) = -3 + -1p Reorder the terms: -14 + -28 + -14p + 4p = -3 + -1p Combine like terms: -14 + -28 = -42 -42 + -14p + 4p = -3 + -1p Combine like terms: -14p + 4p = -10p -42 + -10p = -3 + -1p Solving -42 + -10p = -3 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -42 + -10p + p = -3 + -1p + p Combine like terms: -10p + p = -9p -42 + -9p = -3 + -1p + p Combine like terms: -1p + p = 0 -42 + -9p = -3 + 0 -42 + -9p = -3 Add '42' to each side of the equation. -42 + 42 + -9p = -3 + 42 Combine like terms: -42 + 42 = 0 0 + -9p = -3 + 42 -9p = -3 + 42 Combine like terms: -3 + 42 = 39 -9p = 39 Divide each side by '-9'. p = -4.333333333 Simplifying p = -4.333333333
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