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Simplifying -21p + -5(2 + -6p) = 4(p + -4) + -39 -21p + (2 * -5 + -6p * -5) = 4(p + -4) + -39 -21p + (-10 + 30p) = 4(p + -4) + -39 Reorder the terms: -10 + -21p + 30p = 4(p + -4) + -39 Combine like terms: -21p + 30p = 9p -10 + 9p = 4(p + -4) + -39 Reorder the terms: -10 + 9p = 4(-4 + p) + -39 -10 + 9p = (-4 * 4 + p * 4) + -39 -10 + 9p = (-16 + 4p) + -39 Reorder the terms: -10 + 9p = -16 + -39 + 4p Combine like terms: -16 + -39 = -55 -10 + 9p = -55 + 4p Solving -10 + 9p = -55 + 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. -10 + 9p + -4p = -55 + 4p + -4p Combine like terms: 9p + -4p = 5p -10 + 5p = -55 + 4p + -4p Combine like terms: 4p + -4p = 0 -10 + 5p = -55 + 0 -10 + 5p = -55 Add '10' to each side of the equation. -10 + 10 + 5p = -55 + 10 Combine like terms: -10 + 10 = 0 0 + 5p = -55 + 10 5p = -55 + 10 Combine like terms: -55 + 10 = -45 5p = -45 Divide each side by '5'. p = -9 Simplifying p = -9
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