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Simplifying -6(3p + 3) + -44 = 2(4p + 8) Reorder the terms: -6(3 + 3p) + -44 = 2(4p + 8) (3 * -6 + 3p * -6) + -44 = 2(4p + 8) (-18 + -18p) + -44 = 2(4p + 8) Reorder the terms: -18 + -44 + -18p = 2(4p + 8) Combine like terms: -18 + -44 = -62 -62 + -18p = 2(4p + 8) Reorder the terms: -62 + -18p = 2(8 + 4p) -62 + -18p = (8 * 2 + 4p * 2) -62 + -18p = (16 + 8p) Solving -62 + -18p = 16 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -62 + -18p + -8p = 16 + 8p + -8p Combine like terms: -18p + -8p = -26p -62 + -26p = 16 + 8p + -8p Combine like terms: 8p + -8p = 0 -62 + -26p = 16 + 0 -62 + -26p = 16 Add '62' to each side of the equation. -62 + 62 + -26p = 16 + 62 Combine like terms: -62 + 62 = 0 0 + -26p = 16 + 62 -26p = 16 + 62 Combine like terms: 16 + 62 = 78 -26p = 78 Divide each side by '-26'. p = -3 Simplifying p = -3
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