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Simplifying 4p + -6(p + 3) = p + 9 Reorder the terms: 4p + -6(3 + p) = p + 9 4p + (3 * -6 + p * -6) = p + 9 4p + (-18 + -6p) = p + 9 Reorder the terms: -18 + 4p + -6p = p + 9 Combine like terms: 4p + -6p = -2p -18 + -2p = p + 9 Reorder the terms: -18 + -2p = 9 + p Solving -18 + -2p = 9 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -18 + -2p + -1p = 9 + p + -1p Combine like terms: -2p + -1p = -3p -18 + -3p = 9 + p + -1p Combine like terms: p + -1p = 0 -18 + -3p = 9 + 0 -18 + -3p = 9 Add '18' to each side of the equation. -18 + 18 + -3p = 9 + 18 Combine like terms: -18 + 18 = 0 0 + -3p = 9 + 18 -3p = 9 + 18 Combine like terms: 9 + 18 = 27 -3p = 27 Divide each side by '-3'. p = -9 Simplifying p = -9
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