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Simplifying 4p + -3 = 5(p + -4) + -3(9 + -2p) Reorder the terms: -3 + 4p = 5(p + -4) + -3(9 + -2p) Reorder the terms: -3 + 4p = 5(-4 + p) + -3(9 + -2p) -3 + 4p = (-4 * 5 + p * 5) + -3(9 + -2p) -3 + 4p = (-20 + 5p) + -3(9 + -2p) -3 + 4p = -20 + 5p + (9 * -3 + -2p * -3) -3 + 4p = -20 + 5p + (-27 + 6p) Reorder the terms: -3 + 4p = -20 + -27 + 5p + 6p Combine like terms: -20 + -27 = -47 -3 + 4p = -47 + 5p + 6p Combine like terms: 5p + 6p = 11p -3 + 4p = -47 + 11p Solving -3 + 4p = -47 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. -3 + 4p + -11p = -47 + 11p + -11p Combine like terms: 4p + -11p = -7p -3 + -7p = -47 + 11p + -11p Combine like terms: 11p + -11p = 0 -3 + -7p = -47 + 0 -3 + -7p = -47 Add '3' to each side of the equation. -3 + 3 + -7p = -47 + 3 Combine like terms: -3 + 3 = 0 0 + -7p = -47 + 3 -7p = -47 + 3 Combine like terms: -47 + 3 = -44 -7p = -44 Divide each side by '-7'. p = 6.285714286 Simplifying p = 6.285714286
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