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Simplifying -30p + -6(5 + -6p) = 4(p + -4) + -4 -30p + (5 * -6 + -6p * -6) = 4(p + -4) + -4 -30p + (-30 + 36p) = 4(p + -4) + -4 Reorder the terms: -30 + -30p + 36p = 4(p + -4) + -4 Combine like terms: -30p + 36p = 6p -30 + 6p = 4(p + -4) + -4 Reorder the terms: -30 + 6p = 4(-4 + p) + -4 -30 + 6p = (-4 * 4 + p * 4) + -4 -30 + 6p = (-16 + 4p) + -4 Reorder the terms: -30 + 6p = -16 + -4 + 4p Combine like terms: -16 + -4 = -20 -30 + 6p = -20 + 4p Solving -30 + 6p = -20 + 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. -30 + 6p + -4p = -20 + 4p + -4p Combine like terms: 6p + -4p = 2p -30 + 2p = -20 + 4p + -4p Combine like terms: 4p + -4p = 0 -30 + 2p = -20 + 0 -30 + 2p = -20 Add '30' to each side of the equation. -30 + 30 + 2p = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = -20 + 30 2p = -20 + 30 Combine like terms: -20 + 30 = 10 2p = 10 Divide each side by '2'. p = 5 Simplifying p = 5
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