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Simplifying -8p + -12 + 1 + p = -12(p + -2) + 4(p + -10) Reorder the terms: -12 + 1 + -8p + p = -12(p + -2) + 4(p + -10) Combine like terms: -12 + 1 = -11 -11 + -8p + p = -12(p + -2) + 4(p + -10) Combine like terms: -8p + p = -7p -11 + -7p = -12(p + -2) + 4(p + -10) Reorder the terms: -11 + -7p = -12(-2 + p) + 4(p + -10) -11 + -7p = (-2 * -12 + p * -12) + 4(p + -10) -11 + -7p = (24 + -12p) + 4(p + -10) Reorder the terms: -11 + -7p = 24 + -12p + 4(-10 + p) -11 + -7p = 24 + -12p + (-10 * 4 + p * 4) -11 + -7p = 24 + -12p + (-40 + 4p) Reorder the terms: -11 + -7p = 24 + -40 + -12p + 4p Combine like terms: 24 + -40 = -16 -11 + -7p = -16 + -12p + 4p Combine like terms: -12p + 4p = -8p -11 + -7p = -16 + -8p Solving -11 + -7p = -16 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -11 + -7p + 8p = -16 + -8p + 8p Combine like terms: -7p + 8p = 1p -11 + 1p = -16 + -8p + 8p Combine like terms: -8p + 8p = 0 -11 + 1p = -16 + 0 -11 + 1p = -16 Add '11' to each side of the equation. -11 + 11 + 1p = -16 + 11 Combine like terms: -11 + 11 = 0 0 + 1p = -16 + 11 1p = -16 + 11 Combine like terms: -16 + 11 = -5 1p = -5 Divide each side by '1'. p = -5 Simplifying p = -5
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