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Simplifying -19 + -5(6 + -5p) = 4(p + -4) + -12 -19 + (6 * -5 + -5p * -5) = 4(p + -4) + -12 -19 + (-30 + 25p) = 4(p + -4) + -12 Combine like terms: -19 + -30 = -49 -49 + 25p = 4(p + -4) + -12 Reorder the terms: -49 + 25p = 4(-4 + p) + -12 -49 + 25p = (-4 * 4 + p * 4) + -12 -49 + 25p = (-16 + 4p) + -12 Reorder the terms: -49 + 25p = -16 + -12 + 4p Combine like terms: -16 + -12 = -28 -49 + 25p = -28 + 4p Solving -49 + 25p = -28 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -49 + 25p + -4p = -28 + 4p + -4p Combine like terms: 25p + -4p = 21p -49 + 21p = -28 + 4p + -4p Combine like terms: 4p + -4p = 0 -49 + 21p = -28 + 0 -49 + 21p = -28 Add '49' to each side of the equation. -49 + 49 + 21p = -28 + 49 Combine like terms: -49 + 49 = 0 0 + 21p = -28 + 49 21p = -28 + 49 Combine like terms: -28 + 49 = 21 21p = 21 Divide each side by '21'. p = 1 Simplifying p = 1
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