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Simplifying -22p + -6(5 + -5p) = 6(p + -5) + -10 -22p + (5 * -6 + -5p * -6) = 6(p + -5) + -10 -22p + (-30 + 30p) = 6(p + -5) + -10 Reorder the terms: -30 + -22p + 30p = 6(p + -5) + -10 Combine like terms: -22p + 30p = 8p -30 + 8p = 6(p + -5) + -10 Reorder the terms: -30 + 8p = 6(-5 + p) + -10 -30 + 8p = (-5 * 6 + p * 6) + -10 -30 + 8p = (-30 + 6p) + -10 Reorder the terms: -30 + 8p = -30 + -10 + 6p Combine like terms: -30 + -10 = -40 -30 + 8p = -40 + 6p Solving -30 + 8p = -40 + 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 + 8p + -6p = -40 + 6p + -6p Combine like terms: 8p + -6p = 2p -30 + 2p = -40 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + 2p = -40 + 0 -30 + 2p = -40 Add '30' to each side of the equation. -30 + 30 + 2p = -40 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = -40 + 30 2p = -40 + 30 Combine like terms: -40 + 30 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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