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Simplifying -6(7 + -1p) + -6p = p + -40 (7 * -6 + -1p * -6) + -6p = p + -40 (-42 + 6p) + -6p = p + -40 Combine like terms: 6p + -6p = 0 -42 + 0 = p + -40 -42 = p + -40 Reorder the terms: -42 = -40 + p Solving -42 = -40 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -42 + -1p = -40 + p + -1p Combine like terms: p + -1p = 0 -42 + -1p = -40 + 0 -42 + -1p = -40 Add '42' to each side of the equation. -42 + 42 + -1p = -40 + 42 Combine like terms: -42 + 42 = 0 0 + -1p = -40 + 42 -1p = -40 + 42 Combine like terms: -40 + 42 = 2 -1p = 2 Divide each side by '-1'. p = -2 Simplifying p = -2
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