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Simplifying -30 = -4(4 + 3p) + -2(p + -7) -30 = (4 * -4 + 3p * -4) + -2(p + -7) -30 = (-16 + -12p) + -2(p + -7) Reorder the terms: -30 = -16 + -12p + -2(-7 + p) -30 = -16 + -12p + (-7 * -2 + p * -2) -30 = -16 + -12p + (14 + -2p) Reorder the terms: -30 = -16 + 14 + -12p + -2p Combine like terms: -16 + 14 = -2 -30 = -2 + -12p + -2p Combine like terms: -12p + -2p = -14p -30 = -2 + -14p Solving -30 = -2 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. -30 + 14p = -2 + -14p + 14p Combine like terms: -14p + 14p = 0 -30 + 14p = -2 + 0 -30 + 14p = -2 Add '30' to each side of the equation. -30 + 30 + 14p = -2 + 30 Combine like terms: -30 + 30 = 0 0 + 14p = -2 + 30 14p = -2 + 30 Combine like terms: -2 + 30 = 28 14p = 28 Divide each side by '14'. p = 2 Simplifying p = 2
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