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Simplifying -19 = 5p + -2(3p + 5) Reorder the terms: -19 = 5p + -2(5 + 3p) -19 = 5p + (5 * -2 + 3p * -2) -19 = 5p + (-10 + -6p) Reorder the terms: -19 = -10 + 5p + -6p Combine like terms: 5p + -6p = -1p -19 = -10 + -1p Solving -19 = -10 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -19 + p = -10 + -1p + p Combine like terms: -1p + p = 0 -19 + p = -10 + 0 -19 + p = -10 Add '19' to each side of the equation. -19 + 19 + p = -10 + 19 Combine like terms: -19 + 19 = 0 0 + p = -10 + 19 p = -10 + 19 Combine like terms: -10 + 19 = 9 p = 9 Simplifying p = 9
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