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Simplifying -4(1 + 4p) + 4(-5p + 3) = -28 (1 * -4 + 4p * -4) + 4(-5p + 3) = -28 (-4 + -16p) + 4(-5p + 3) = -28 Reorder the terms: -4 + -16p + 4(3 + -5p) = -28 -4 + -16p + (3 * 4 + -5p * 4) = -28 -4 + -16p + (12 + -20p) = -28 Reorder the terms: -4 + 12 + -16p + -20p = -28 Combine like terms: -4 + 12 = 8 8 + -16p + -20p = -28 Combine like terms: -16p + -20p = -36p 8 + -36p = -28 Solving 8 + -36p = -28 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -36p = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -36p = -28 + -8 -36p = -28 + -8 Combine like terms: -28 + -8 = -36 -36p = -36 Divide each side by '-36'. p = 1 Simplifying p = 1
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