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Simplifying 4p + 6 = -1(3p + 4) + -1(6 + -9p) Reorder the terms: 6 + 4p = -1(3p + 4) + -1(6 + -9p) Reorder the terms: 6 + 4p = -1(4 + 3p) + -1(6 + -9p) 6 + 4p = (4 * -1 + 3p * -1) + -1(6 + -9p) 6 + 4p = (-4 + -3p) + -1(6 + -9p) 6 + 4p = -4 + -3p + (6 * -1 + -9p * -1) 6 + 4p = -4 + -3p + (-6 + 9p) Reorder the terms: 6 + 4p = -4 + -6 + -3p + 9p Combine like terms: -4 + -6 = -10 6 + 4p = -10 + -3p + 9p Combine like terms: -3p + 9p = 6p 6 + 4p = -10 + 6p Solving 6 + 4p = -10 + 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. 6 + 4p + -6p = -10 + 6p + -6p Combine like terms: 4p + -6p = -2p 6 + -2p = -10 + 6p + -6p Combine like terms: 6p + -6p = 0 6 + -2p = -10 + 0 6 + -2p = -10 Add '-6' to each side of the equation. 6 + -6 + -2p = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -2p = -10 + -6 -2p = -10 + -6 Combine like terms: -10 + -6 = -16 -2p = -16 Divide each side by '-2'. p = 8 Simplifying p = 8
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