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Simplifying 6(-5 + 3p) + -2(p + 5) = 0 (-5 * 6 + 3p * 6) + -2(p + 5) = 0 (-30 + 18p) + -2(p + 5) = 0 Reorder the terms: -30 + 18p + -2(5 + p) = 0 -30 + 18p + (5 * -2 + p * -2) = 0 -30 + 18p + (-10 + -2p) = 0 Reorder the terms: -30 + -10 + 18p + -2p = 0 Combine like terms: -30 + -10 = -40 -40 + 18p + -2p = 0 Combine like terms: 18p + -2p = 16p -40 + 16p = 0 Solving -40 + 16p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 16p = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 16p = 0 + 40 16p = 0 + 40 Combine like terms: 0 + 40 = 40 16p = 40 Divide each side by '16'. p = 2.5 Simplifying p = 2.5
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