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Simplifying -3(5p + -1) + -2(1 + 3) = 1 + -6p + -4p Reorder the terms: -3(-1 + 5p) + -2(1 + 3) = 1 + -6p + -4p (-1 * -3 + 5p * -3) + -2(1 + 3) = 1 + -6p + -4p (3 + -15p) + -2(1 + 3) = 1 + -6p + -4p Combine like terms: 1 + 3 = 4 3 + -15p + -2(4) = 1 + -6p + -4p Multiply -2 * 4 3 + -15p + -8 = 1 + -6p + -4p Reorder the terms: 3 + -8 + -15p = 1 + -6p + -4p Combine like terms: 3 + -8 = -5 -5 + -15p = 1 + -6p + -4p Combine like terms: -6p + -4p = -10p -5 + -15p = 1 + -10p Solving -5 + -15p = 1 + -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. -5 + -15p + 10p = 1 + -10p + 10p Combine like terms: -15p + 10p = -5p -5 + -5p = 1 + -10p + 10p Combine like terms: -10p + 10p = 0 -5 + -5p = 1 + 0 -5 + -5p = 1 Add '5' to each side of the equation. -5 + 5 + -5p = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -5p = 1 + 5 -5p = 1 + 5 Combine like terms: 1 + 5 = 6 -5p = 6 Divide each side by '-5'. p = -1.2 Simplifying p = -1.2
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