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Simplifying -7(2p + 2) + -26 = 4(3p + 3) Reorder the terms: -7(2 + 2p) + -26 = 4(3p + 3) (2 * -7 + 2p * -7) + -26 = 4(3p + 3) (-14 + -14p) + -26 = 4(3p + 3) Reorder the terms: -14 + -26 + -14p = 4(3p + 3) Combine like terms: -14 + -26 = -40 -40 + -14p = 4(3p + 3) Reorder the terms: -40 + -14p = 4(3 + 3p) -40 + -14p = (3 * 4 + 3p * 4) -40 + -14p = (12 + 12p) Solving -40 + -14p = 12 + 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. -40 + -14p + -12p = 12 + 12p + -12p Combine like terms: -14p + -12p = -26p -40 + -26p = 12 + 12p + -12p Combine like terms: 12p + -12p = 0 -40 + -26p = 12 + 0 -40 + -26p = 12 Add '40' to each side of the equation. -40 + 40 + -26p = 12 + 40 Combine like terms: -40 + 40 = 0 0 + -26p = 12 + 40 -26p = 12 + 40 Combine like terms: 12 + 40 = 52 -26p = 52 Divide each side by '-26'. p = -2 Simplifying p = -2
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