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Simplifying -14p + -4(4 + -5p) = 3(p + -3) + -19 -14p + (4 * -4 + -5p * -4) = 3(p + -3) + -19 -14p + (-16 + 20p) = 3(p + -3) + -19 Reorder the terms: -16 + -14p + 20p = 3(p + -3) + -19 Combine like terms: -14p + 20p = 6p -16 + 6p = 3(p + -3) + -19 Reorder the terms: -16 + 6p = 3(-3 + p) + -19 -16 + 6p = (-3 * 3 + p * 3) + -19 -16 + 6p = (-9 + 3p) + -19 Reorder the terms: -16 + 6p = -9 + -19 + 3p Combine like terms: -9 + -19 = -28 -16 + 6p = -28 + 3p Solving -16 + 6p = -28 + 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. -16 + 6p + -3p = -28 + 3p + -3p Combine like terms: 6p + -3p = 3p -16 + 3p = -28 + 3p + -3p Combine like terms: 3p + -3p = 0 -16 + 3p = -28 + 0 -16 + 3p = -28 Add '16' to each side of the equation. -16 + 16 + 3p = -28 + 16 Combine like terms: -16 + 16 = 0 0 + 3p = -28 + 16 3p = -28 + 16 Combine like terms: -28 + 16 = -12 3p = -12 Divide each side by '3'. p = -4 Simplifying p = -4
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