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Simplifying -7p + -12 = 4p + 3(-4 + -1p) Reorder the terms: -12 + -7p = 4p + 3(-4 + -1p) -12 + -7p = 4p + (-4 * 3 + -1p * 3) -12 + -7p = 4p + (-12 + -3p) Reorder the terms: -12 + -7p = -12 + 4p + -3p Combine like terms: 4p + -3p = 1p -12 + -7p = -12 + 1p Add '12' to each side of the equation. -12 + 12 + -7p = -12 + 12 + 1p Combine like terms: -12 + 12 = 0 0 + -7p = -12 + 12 + 1p -7p = -12 + 12 + 1p Combine like terms: -12 + 12 = 0 -7p = 0 + 1p -7p = 1p Solving -7p = 1p 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. -7p + -1p = 1p + -1p Combine like terms: -7p + -1p = -8p -8p = 1p + -1p Combine like terms: 1p + -1p = 0 -8p = 0 Divide each side by '-8'. p = 0 Simplifying p = 0
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