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Simplifying -6(3p + 2) + -39 = 5(5p + 7) Reorder the terms: -6(2 + 3p) + -39 = 5(5p + 7) (2 * -6 + 3p * -6) + -39 = 5(5p + 7) (-12 + -18p) + -39 = 5(5p + 7) Reorder the terms: -12 + -39 + -18p = 5(5p + 7) Combine like terms: -12 + -39 = -51 -51 + -18p = 5(5p + 7) Reorder the terms: -51 + -18p = 5(7 + 5p) -51 + -18p = (7 * 5 + 5p * 5) -51 + -18p = (35 + 25p) Solving -51 + -18p = 35 + 25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25p' to each side of the equation. -51 + -18p + -25p = 35 + 25p + -25p Combine like terms: -18p + -25p = -43p -51 + -43p = 35 + 25p + -25p Combine like terms: 25p + -25p = 0 -51 + -43p = 35 + 0 -51 + -43p = 35 Add '51' to each side of the equation. -51 + 51 + -43p = 35 + 51 Combine like terms: -51 + 51 = 0 0 + -43p = 35 + 51 -43p = 35 + 51 Combine like terms: 35 + 51 = 86 -43p = 86 Divide each side by '-43'. p = -2 Simplifying p = -2
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