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Simplifying -7 + -12 = -4p + 3(-4 + -1p) Combine like terms: -7 + -12 = -19 -19 = -4p + 3(-4 + -1p) -19 = -4p + (-4 * 3 + -1p * 3) -19 = -4p + (-12 + -3p) Reorder the terms: -19 = -12 + -4p + -3p Combine like terms: -4p + -3p = -7p -19 = -12 + -7p Solving -19 = -12 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -19 + 7p = -12 + -7p + 7p Combine like terms: -7p + 7p = 0 -19 + 7p = -12 + 0 -19 + 7p = -12 Add '19' to each side of the equation. -19 + 19 + 7p = -12 + 19 Combine like terms: -19 + 19 = 0 0 + 7p = -12 + 19 7p = -12 + 19 Combine like terms: -12 + 19 = 7 7p = 7 Divide each side by '7'. p = 1 Simplifying p = 1
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