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Simplifying -2(-3p + 15) + -3(4 + -4p) = 0 Reorder the terms: -2(15 + -3p) + -3(4 + -4p) = 0 (15 * -2 + -3p * -2) + -3(4 + -4p) = 0 (-30 + 6p) + -3(4 + -4p) = 0 -30 + 6p + (4 * -3 + -4p * -3) = 0 -30 + 6p + (-12 + 12p) = 0 Reorder the terms: -30 + -12 + 6p + 12p = 0 Combine like terms: -30 + -12 = -42 -42 + 6p + 12p = 0 Combine like terms: 6p + 12p = 18p -42 + 18p = 0 Solving -42 + 18p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 18p = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 18p = 0 + 42 18p = 0 + 42 Combine like terms: 0 + 42 = 42 18p = 42 Divide each side by '18'. p = 2.333333333 Simplifying p = 2.333333333
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