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Simplifying -30p + -6(6 + -6p) = 3(p + -5) + -15 -30p + (6 * -6 + -6p * -6) = 3(p + -5) + -15 -30p + (-36 + 36p) = 3(p + -5) + -15 Reorder the terms: -36 + -30p + 36p = 3(p + -5) + -15 Combine like terms: -30p + 36p = 6p -36 + 6p = 3(p + -5) + -15 Reorder the terms: -36 + 6p = 3(-5 + p) + -15 -36 + 6p = (-5 * 3 + p * 3) + -15 -36 + 6p = (-15 + 3p) + -15 Reorder the terms: -36 + 6p = -15 + -15 + 3p Combine like terms: -15 + -15 = -30 -36 + 6p = -30 + 3p Solving -36 + 6p = -30 + 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. -36 + 6p + -3p = -30 + 3p + -3p Combine like terms: 6p + -3p = 3p -36 + 3p = -30 + 3p + -3p Combine like terms: 3p + -3p = 0 -36 + 3p = -30 + 0 -36 + 3p = -30 Add '36' to each side of the equation. -36 + 36 + 3p = -30 + 36 Combine like terms: -36 + 36 = 0 0 + 3p = -30 + 36 3p = -30 + 36 Combine like terms: -30 + 36 = 6 3p = 6 Divide each side by '3'. p = 2 Simplifying p = 2
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