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Simplifying -14(p + 1) + 4(p + -7) = 3p + -1p Reorder the terms: -14(1 + p) + 4(p + -7) = 3p + -1p (1 * -14 + p * -14) + 4(p + -7) = 3p + -1p (-14 + -14p) + 4(p + -7) = 3p + -1p Reorder the terms: -14 + -14p + 4(-7 + p) = 3p + -1p -14 + -14p + (-7 * 4 + p * 4) = 3p + -1p -14 + -14p + (-28 + 4p) = 3p + -1p Reorder the terms: -14 + -28 + -14p + 4p = 3p + -1p Combine like terms: -14 + -28 = -42 -42 + -14p + 4p = 3p + -1p Combine like terms: -14p + 4p = -10p -42 + -10p = 3p + -1p Combine like terms: 3p + -1p = 2p -42 + -10p = 2p Solving -42 + -10p = 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -42 + -10p + -2p = 2p + -2p Combine like terms: -10p + -2p = -12p -42 + -12p = 2p + -2p Combine like terms: 2p + -2p = 0 -42 + -12p = 0 Add '42' to each side of the equation. -42 + 42 + -12p = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -12p = 0 + 42 -12p = 0 + 42 Combine like terms: 0 + 42 = 42 -12p = 42 Divide each side by '-12'. p = -3.5 Simplifying p = -3.5
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