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Simplifying 8 + -3(p + 7) = p + 5 Reorder the terms: 8 + -3(7 + p) = p + 5 8 + (7 * -3 + p * -3) = p + 5 8 + (-21 + -3p) = p + 5 Combine like terms: 8 + -21 = -13 -13 + -3p = p + 5 Reorder the terms: -13 + -3p = 5 + p Solving -13 + -3p = 5 + 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. -13 + -3p + -1p = 5 + p + -1p Combine like terms: -3p + -1p = -4p -13 + -4p = 5 + p + -1p Combine like terms: p + -1p = 0 -13 + -4p = 5 + 0 -13 + -4p = 5 Add '13' to each side of the equation. -13 + 13 + -4p = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -4p = 5 + 13 -4p = 5 + 13 Combine like terms: 5 + 13 = 18 -4p = 18 Divide each side by '-4'. p = -4.5 Simplifying p = -4.5
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