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Simplifying 5p + -6(3p + -10) = 3p + 6 Reorder the terms: 5p + -6(-10 + 3p) = 3p + 6 5p + (-10 * -6 + 3p * -6) = 3p + 6 5p + (60 + -18p) = 3p + 6 Reorder the terms: 60 + 5p + -18p = 3p + 6 Combine like terms: 5p + -18p = -13p 60 + -13p = 3p + 6 Reorder the terms: 60 + -13p = 6 + 3p Solving 60 + -13p = 6 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 60 + -13p + -3p = 6 + 3p + -3p Combine like terms: -13p + -3p = -16p 60 + -16p = 6 + 3p + -3p Combine like terms: 3p + -3p = 0 60 + -16p = 6 + 0 60 + -16p = 6 Add '-60' to each side of the equation. 60 + -60 + -16p = 6 + -60 Combine like terms: 60 + -60 = 0 0 + -16p = 6 + -60 -16p = 6 + -60 Combine like terms: 6 + -60 = -54 -16p = -54 Divide each side by '-16'. p = 3.375 Simplifying p = 3.375
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