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Simplifying 4p + -1 = 3(p + -7) + 9 Reorder the terms: -1 + 4p = 3(p + -7) + 9 Reorder the terms: -1 + 4p = 3(-7 + p) + 9 -1 + 4p = (-7 * 3 + p * 3) + 9 -1 + 4p = (-21 + 3p) + 9 Reorder the terms: -1 + 4p = -21 + 9 + 3p Combine like terms: -21 + 9 = -12 -1 + 4p = -12 + 3p Solving -1 + 4p = -12 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -1 + 4p + -3p = -12 + 3p + -3p Combine like terms: 4p + -3p = 1p -1 + 1p = -12 + 3p + -3p Combine like terms: 3p + -3p = 0 -1 + 1p = -12 + 0 -1 + 1p = -12 Add '1' to each side of the equation. -1 + 1 + 1p = -12 + 1 Combine like terms: -1 + 1 = 0 0 + 1p = -12 + 1 1p = -12 + 1 Combine like terms: -12 + 1 = -11 1p = -11 Divide each side by '1'. p = -11 Simplifying p = -11
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