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Simplifying 4(4p + -1) + -4(5p + 3) = 5 + -3(p + 2) Reorder the terms: 4(-1 + 4p) + -4(5p + 3) = 5 + -3(p + 2) (-1 * 4 + 4p * 4) + -4(5p + 3) = 5 + -3(p + 2) (-4 + 16p) + -4(5p + 3) = 5 + -3(p + 2) Reorder the terms: -4 + 16p + -4(3 + 5p) = 5 + -3(p + 2) -4 + 16p + (3 * -4 + 5p * -4) = 5 + -3(p + 2) -4 + 16p + (-12 + -20p) = 5 + -3(p + 2) Reorder the terms: -4 + -12 + 16p + -20p = 5 + -3(p + 2) Combine like terms: -4 + -12 = -16 -16 + 16p + -20p = 5 + -3(p + 2) Combine like terms: 16p + -20p = -4p -16 + -4p = 5 + -3(p + 2) Reorder the terms: -16 + -4p = 5 + -3(2 + p) -16 + -4p = 5 + (2 * -3 + p * -3) -16 + -4p = 5 + (-6 + -3p) Combine like terms: 5 + -6 = -1 -16 + -4p = -1 + -3p Solving -16 + -4p = -1 + -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 + -4p + 3p = -1 + -3p + 3p Combine like terms: -4p + 3p = -1p -16 + -1p = -1 + -3p + 3p Combine like terms: -3p + 3p = 0 -16 + -1p = -1 + 0 -16 + -1p = -1 Add '16' to each side of the equation. -16 + 16 + -1p = -1 + 16 Combine like terms: -16 + 16 = 0 0 + -1p = -1 + 16 -1p = -1 + 16 Combine like terms: -1 + 16 = 15 -1p = 15 Divide each side by '-1'. p = -15 Simplifying p = -15
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