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Simplifying -3(5p + -1) + -2(1 + 3p) = 1 + -6p + -4p Reorder the terms: -3(-1 + 5p) + -2(1 + 3p) = 1 + -6p + -4p (-1 * -3 + 5p * -3) + -2(1 + 3p) = 1 + -6p + -4p (3 + -15p) + -2(1 + 3p) = 1 + -6p + -4p 3 + -15p + (1 * -2 + 3p * -2) = 1 + -6p + -4p 3 + -15p + (-2 + -6p) = 1 + -6p + -4p Reorder the terms: 3 + -2 + -15p + -6p = 1 + -6p + -4p Combine like terms: 3 + -2 = 1 1 + -15p + -6p = 1 + -6p + -4p Combine like terms: -15p + -6p = -21p 1 + -21p = 1 + -6p + -4p Combine like terms: -6p + -4p = -10p 1 + -21p = 1 + -10p Add '-1' to each side of the equation. 1 + -1 + -21p = 1 + -1 + -10p Combine like terms: 1 + -1 = 0 0 + -21p = 1 + -1 + -10p -21p = 1 + -1 + -10p Combine like terms: 1 + -1 = 0 -21p = 0 + -10p -21p = -10p Solving -21p = -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -21p + 10p = -10p + 10p Combine like terms: -21p + 10p = -11p -11p = -10p + 10p Combine like terms: -10p + 10p = 0 -11p = 0 Divide each side by '-11'. p = 0 Simplifying p = 0
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