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Simplifying -3p + -6(3 + -2p) = 4(p + -4) + -47 -3p + (3 * -6 + -2p * -6) = 4(p + -4) + -47 -3p + (-18 + 12p) = 4(p + -4) + -47 Reorder the terms: -18 + -3p + 12p = 4(p + -4) + -47 Combine like terms: -3p + 12p = 9p -18 + 9p = 4(p + -4) + -47 Reorder the terms: -18 + 9p = 4(-4 + p) + -47 -18 + 9p = (-4 * 4 + p * 4) + -47 -18 + 9p = (-16 + 4p) + -47 Reorder the terms: -18 + 9p = -16 + -47 + 4p Combine like terms: -16 + -47 = -63 -18 + 9p = -63 + 4p Solving -18 + 9p = -63 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -18 + 9p + -4p = -63 + 4p + -4p Combine like terms: 9p + -4p = 5p -18 + 5p = -63 + 4p + -4p Combine like terms: 4p + -4p = 0 -18 + 5p = -63 + 0 -18 + 5p = -63 Add '18' to each side of the equation. -18 + 18 + 5p = -63 + 18 Combine like terms: -18 + 18 = 0 0 + 5p = -63 + 18 5p = -63 + 18 Combine like terms: -63 + 18 = -45 5p = -45 Divide each side by '5'. p = -9 Simplifying p = -9
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