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Simplifying 6(p + -3) + 2(5p + 1) = 0 Reorder the terms: 6(-3 + p) + 2(5p + 1) = 0 (-3 * 6 + p * 6) + 2(5p + 1) = 0 (-18 + 6p) + 2(5p + 1) = 0 Reorder the terms: -18 + 6p + 2(1 + 5p) = 0 -18 + 6p + (1 * 2 + 5p * 2) = 0 -18 + 6p + (2 + 10p) = 0 Reorder the terms: -18 + 2 + 6p + 10p = 0 Combine like terms: -18 + 2 = -16 -16 + 6p + 10p = 0 Combine like terms: 6p + 10p = 16p -16 + 16p = 0 Solving -16 + 16p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 16p = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 16p = 0 + 16 16p = 0 + 16 Combine like terms: 0 + 16 = 16 16p = 16 Divide each side by '16'. p = 1 Simplifying p = 1
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