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Simplifying -30 + 3p = -2p + 5(3p + 6) Reorder the terms: -30 + 3p = -2p + 5(6 + 3p) -30 + 3p = -2p + (6 * 5 + 3p * 5) -30 + 3p = -2p + (30 + 15p) Reorder the terms: -30 + 3p = 30 + -2p + 15p Combine like terms: -2p + 15p = 13p -30 + 3p = 30 + 13p Solving -30 + 3p = 30 + 13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13p' to each side of the equation. -30 + 3p + -13p = 30 + 13p + -13p Combine like terms: 3p + -13p = -10p -30 + -10p = 30 + 13p + -13p Combine like terms: 13p + -13p = 0 -30 + -10p = 30 + 0 -30 + -10p = 30 Add '30' to each side of the equation. -30 + 30 + -10p = 30 + 30 Combine like terms: -30 + 30 = 0 0 + -10p = 30 + 30 -10p = 30 + 30 Combine like terms: 30 + 30 = 60 -10p = 60 Divide each side by '-10'. p = -6 Simplifying p = -6
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