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Simplifying -7(2p + 2) + -30 = 4(3p + 2) Reorder the terms: -7(2 + 2p) + -30 = 4(3p + 2) (2 * -7 + 2p * -7) + -30 = 4(3p + 2) (-14 + -14p) + -30 = 4(3p + 2) Reorder the terms: -14 + -30 + -14p = 4(3p + 2) Combine like terms: -14 + -30 = -44 -44 + -14p = 4(3p + 2) Reorder the terms: -44 + -14p = 4(2 + 3p) -44 + -14p = (2 * 4 + 3p * 4) -44 + -14p = (8 + 12p) Solving -44 + -14p = 8 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -44 + -14p + -12p = 8 + 12p + -12p Combine like terms: -14p + -12p = -26p -44 + -26p = 8 + 12p + -12p Combine like terms: 12p + -12p = 0 -44 + -26p = 8 + 0 -44 + -26p = 8 Add '44' to each side of the equation. -44 + 44 + -26p = 8 + 44 Combine like terms: -44 + 44 = 0 0 + -26p = 8 + 44 -26p = 8 + 44 Combine like terms: 8 + 44 = 52 -26p = 52 Divide each side by '-26'. p = -2 Simplifying p = -2
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