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Simplifying 7(p + 2) + -7(p + 3) = p + -2 + -7 Reorder the terms: 7(2 + p) + -7(p + 3) = p + -2 + -7 (2 * 7 + p * 7) + -7(p + 3) = p + -2 + -7 (14 + 7p) + -7(p + 3) = p + -2 + -7 Reorder the terms: 14 + 7p + -7(3 + p) = p + -2 + -7 14 + 7p + (3 * -7 + p * -7) = p + -2 + -7 14 + 7p + (-21 + -7p) = p + -2 + -7 Reorder the terms: 14 + -21 + 7p + -7p = p + -2 + -7 Combine like terms: 14 + -21 = -7 -7 + 7p + -7p = p + -2 + -7 Combine like terms: 7p + -7p = 0 -7 + 0 = p + -2 + -7 -7 = p + -2 + -7 Reorder the terms: -7 = -2 + -7 + p Combine like terms: -2 + -7 = -9 -7 = -9 + p Solving -7 = -9 + 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. -7 + -1p = -9 + p + -1p Combine like terms: p + -1p = 0 -7 + -1p = -9 + 0 -7 + -1p = -9 Add '7' to each side of the equation. -7 + 7 + -1p = -9 + 7 Combine like terms: -7 + 7 = 0 0 + -1p = -9 + 7 -1p = -9 + 7 Combine like terms: -9 + 7 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2
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