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Simplifying 6(p + -2) + 3p = 5(p + 4) Reorder the terms: 6(-2 + p) + 3p = 5(p + 4) (-2 * 6 + p * 6) + 3p = 5(p + 4) (-12 + 6p) + 3p = 5(p + 4) Combine like terms: 6p + 3p = 9p -12 + 9p = 5(p + 4) Reorder the terms: -12 + 9p = 5(4 + p) -12 + 9p = (4 * 5 + p * 5) -12 + 9p = (20 + 5p) Solving -12 + 9p = 20 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -12 + 9p + -5p = 20 + 5p + -5p Combine like terms: 9p + -5p = 4p -12 + 4p = 20 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 4p = 20 + 0 -12 + 4p = 20 Add '12' to each side of the equation. -12 + 12 + 4p = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = 20 + 12 4p = 20 + 12 Combine like terms: 20 + 12 = 32 4p = 32 Divide each side by '4'. p = 8 Simplifying p = 8
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