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Simplifying 5(-3p + -2) = -6p + -28 Reorder the terms: 5(-2 + -3p) = -6p + -28 (-2 * 5 + -3p * 5) = -6p + -28 (-10 + -15p) = -6p + -28 Reorder the terms: -10 + -15p = -28 + -6p Solving -10 + -15p = -28 + -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. -10 + -15p + 6p = -28 + -6p + 6p Combine like terms: -15p + 6p = -9p -10 + -9p = -28 + -6p + 6p Combine like terms: -6p + 6p = 0 -10 + -9p = -28 + 0 -10 + -9p = -28 Add '10' to each side of the equation. -10 + 10 + -9p = -28 + 10 Combine like terms: -10 + 10 = 0 0 + -9p = -28 + 10 -9p = -28 + 10 Combine like terms: -28 + 10 = -18 -9p = -18 Divide each side by '-9'. p = 2 Simplifying p = 2
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