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Simplifying 4(4p + -4) = 6(p + -1) Reorder the terms: 4(-4 + 4p) = 6(p + -1) (-4 * 4 + 4p * 4) = 6(p + -1) (-16 + 16p) = 6(p + -1) Reorder the terms: -16 + 16p = 6(-1 + p) -16 + 16p = (-1 * 6 + p * 6) -16 + 16p = (-6 + 6p) Solving -16 + 16p = -6 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -16 + 16p + -6p = -6 + 6p + -6p Combine like terms: 16p + -6p = 10p -16 + 10p = -6 + 6p + -6p Combine like terms: 6p + -6p = 0 -16 + 10p = -6 + 0 -16 + 10p = -6 Add '16' to each side of the equation. -16 + 16 + 10p = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 10p = -6 + 16 10p = -6 + 16 Combine like terms: -6 + 16 = 10 10p = 10 Divide each side by '10'. p = 1 Simplifying p = 1
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