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Simplifying -26p + -6(5 + -6p) = 6(p + -4) + -30 -26p + (5 * -6 + -6p * -6) = 6(p + -4) + -30 -26p + (-30 + 36p) = 6(p + -4) + -30 Reorder the terms: -30 + -26p + 36p = 6(p + -4) + -30 Combine like terms: -26p + 36p = 10p -30 + 10p = 6(p + -4) + -30 Reorder the terms: -30 + 10p = 6(-4 + p) + -30 -30 + 10p = (-4 * 6 + p * 6) + -30 -30 + 10p = (-24 + 6p) + -30 Reorder the terms: -30 + 10p = -24 + -30 + 6p Combine like terms: -24 + -30 = -54 -30 + 10p = -54 + 6p Solving -30 + 10p = -54 + 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. -30 + 10p + -6p = -54 + 6p + -6p Combine like terms: 10p + -6p = 4p -30 + 4p = -54 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + 4p = -54 + 0 -30 + 4p = -54 Add '30' to each side of the equation. -30 + 30 + 4p = -54 + 30 Combine like terms: -30 + 30 = 0 0 + 4p = -54 + 30 4p = -54 + 30 Combine like terms: -54 + 30 = -24 4p = -24 Divide each side by '4'. p = -6 Simplifying p = -6
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