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Simplifying 4p + 3(p + -2) = -2p + 30 Reorder the terms: 4p + 3(-2 + p) = -2p + 30 4p + (-2 * 3 + p * 3) = -2p + 30 4p + (-6 + 3p) = -2p + 30 Reorder the terms: -6 + 4p + 3p = -2p + 30 Combine like terms: 4p + 3p = 7p -6 + 7p = -2p + 30 Reorder the terms: -6 + 7p = 30 + -2p Solving -6 + 7p = 30 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -6 + 7p + 2p = 30 + -2p + 2p Combine like terms: 7p + 2p = 9p -6 + 9p = 30 + -2p + 2p Combine like terms: -2p + 2p = 0 -6 + 9p = 30 + 0 -6 + 9p = 30 Add '6' to each side of the equation. -6 + 6 + 9p = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 9p = 30 + 6 9p = 30 + 6 Combine like terms: 30 + 6 = 36 9p = 36 Divide each side by '9'. p = 4 Simplifying p = 4
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