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Simplifying -3(3p + 7) = 4 + -6(p + 3) Reorder the terms: -3(7 + 3p) = 4 + -6(p + 3) (7 * -3 + 3p * -3) = 4 + -6(p + 3) (-21 + -9p) = 4 + -6(p + 3) Reorder the terms: -21 + -9p = 4 + -6(3 + p) -21 + -9p = 4 + (3 * -6 + p * -6) -21 + -9p = 4 + (-18 + -6p) Combine like terms: 4 + -18 = -14 -21 + -9p = -14 + -6p Solving -21 + -9p = -14 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -21 + -9p + 6p = -14 + -6p + 6p Combine like terms: -9p + 6p = -3p -21 + -3p = -14 + -6p + 6p Combine like terms: -6p + 6p = 0 -21 + -3p = -14 + 0 -21 + -3p = -14 Add '21' to each side of the equation. -21 + 21 + -3p = -14 + 21 Combine like terms: -21 + 21 = 0 0 + -3p = -14 + 21 -3p = -14 + 21 Combine like terms: -14 + 21 = 7 -3p = 7 Divide each side by '-3'. p = -2.333333333 Simplifying p = -2.333333333
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