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Simplifying -3p + -6(5 + -2p) = 4(p + -2) + -47 -3p + (5 * -6 + -2p * -6) = 4(p + -2) + -47 -3p + (-30 + 12p) = 4(p + -2) + -47 Reorder the terms: -30 + -3p + 12p = 4(p + -2) + -47 Combine like terms: -3p + 12p = 9p -30 + 9p = 4(p + -2) + -47 Reorder the terms: -30 + 9p = 4(-2 + p) + -47 -30 + 9p = (-2 * 4 + p * 4) + -47 -30 + 9p = (-8 + 4p) + -47 Reorder the terms: -30 + 9p = -8 + -47 + 4p Combine like terms: -8 + -47 = -55 -30 + 9p = -55 + 4p Solving -30 + 9p = -55 + 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. -30 + 9p + -4p = -55 + 4p + -4p Combine like terms: 9p + -4p = 5p -30 + 5p = -55 + 4p + -4p Combine like terms: 4p + -4p = 0 -30 + 5p = -55 + 0 -30 + 5p = -55 Add '30' to each side of the equation. -30 + 30 + 5p = -55 + 30 Combine like terms: -30 + 30 = 0 0 + 5p = -55 + 30 5p = -55 + 30 Combine like terms: -55 + 30 = -25 5p = -25 Divide each side by '5'. p = -5 Simplifying p = -5
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