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Simplifying 6(p + 7) + -7(p + -2) = 55 Reorder the terms: 6(7 + p) + -7(p + -2) = 55 (7 * 6 + p * 6) + -7(p + -2) = 55 (42 + 6p) + -7(p + -2) = 55 Reorder the terms: 42 + 6p + -7(-2 + p) = 55 42 + 6p + (-2 * -7 + p * -7) = 55 42 + 6p + (14 + -7p) = 55 Reorder the terms: 42 + 14 + 6p + -7p = 55 Combine like terms: 42 + 14 = 56 56 + 6p + -7p = 55 Combine like terms: 6p + -7p = -1p 56 + -1p = 55 Solving 56 + -1p = 55 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -1p = 55 + -56 Combine like terms: 56 + -56 = 0 0 + -1p = 55 + -56 -1p = 55 + -56 Combine like terms: 55 + -56 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1
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