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Simplifying -3(1 + 4p) + 5p = -6 + -6p (1 * -3 + 4p * -3) + 5p = -6 + -6p (-3 + -12p) + 5p = -6 + -6p Combine like terms: -12p + 5p = -7p -3 + -7p = -6 + -6p Solving -3 + -7p = -6 + -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. -3 + -7p + 6p = -6 + -6p + 6p Combine like terms: -7p + 6p = -1p -3 + -1p = -6 + -6p + 6p Combine like terms: -6p + 6p = 0 -3 + -1p = -6 + 0 -3 + -1p = -6 Add '3' to each side of the equation. -3 + 3 + -1p = -6 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = -6 + 3 -1p = -6 + 3 Combine like terms: -6 + 3 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3
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