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Simplifying -21 + -6p = -7 + 4(1 + -3p) -21 + -6p = -7 + (1 * 4 + -3p * 4) -21 + -6p = -7 + (4 + -12p) Combine like terms: -7 + 4 = -3 -21 + -6p = -3 + -12p Solving -21 + -6p = -3 + -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. -21 + -6p + 12p = -3 + -12p + 12p Combine like terms: -6p + 12p = 6p -21 + 6p = -3 + -12p + 12p Combine like terms: -12p + 12p = 0 -21 + 6p = -3 + 0 -21 + 6p = -3 Add '21' to each side of the equation. -21 + 21 + 6p = -3 + 21 Combine like terms: -21 + 21 = 0 0 + 6p = -3 + 21 6p = -3 + 21 Combine like terms: -3 + 21 = 18 6p = 18 Divide each side by '6'. p = 3 Simplifying p = 3
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