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Simplifying -2(2p + 1) + -6 = -3(3p + 4) + 9 Reorder the terms: -2(1 + 2p) + -6 = -3(3p + 4) + 9 (1 * -2 + 2p * -2) + -6 = -3(3p + 4) + 9 (-2 + -4p) + -6 = -3(3p + 4) + 9 Reorder the terms: -2 + -6 + -4p = -3(3p + 4) + 9 Combine like terms: -2 + -6 = -8 -8 + -4p = -3(3p + 4) + 9 Reorder the terms: -8 + -4p = -3(4 + 3p) + 9 -8 + -4p = (4 * -3 + 3p * -3) + 9 -8 + -4p = (-12 + -9p) + 9 Reorder the terms: -8 + -4p = -12 + 9 + -9p Combine like terms: -12 + 9 = -3 -8 + -4p = -3 + -9p Solving -8 + -4p = -3 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. -8 + -4p + 9p = -3 + -9p + 9p Combine like terms: -4p + 9p = 5p -8 + 5p = -3 + -9p + 9p Combine like terms: -9p + 9p = 0 -8 + 5p = -3 + 0 -8 + 5p = -3 Add '8' to each side of the equation. -8 + 8 + 5p = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = -3 + 8 5p = -3 + 8 Combine like terms: -3 + 8 = 5 5p = 5 Divide each side by '5'. p = 1 Simplifying p = 1
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