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Simplifying 4p + -7 = 3(p + -1) + -6(8 + -2p) Reorder the terms: -7 + 4p = 3(p + -1) + -6(8 + -2p) Reorder the terms: -7 + 4p = 3(-1 + p) + -6(8 + -2p) -7 + 4p = (-1 * 3 + p * 3) + -6(8 + -2p) -7 + 4p = (-3 + 3p) + -6(8 + -2p) -7 + 4p = -3 + 3p + (8 * -6 + -2p * -6) -7 + 4p = -3 + 3p + (-48 + 12p) Reorder the terms: -7 + 4p = -3 + -48 + 3p + 12p Combine like terms: -3 + -48 = -51 -7 + 4p = -51 + 3p + 12p Combine like terms: 3p + 12p = 15p -7 + 4p = -51 + 15p Solving -7 + 4p = -51 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -7 + 4p + -15p = -51 + 15p + -15p Combine like terms: 4p + -15p = -11p -7 + -11p = -51 + 15p + -15p Combine like terms: 15p + -15p = 0 -7 + -11p = -51 + 0 -7 + -11p = -51 Add '7' to each side of the equation. -7 + 7 + -11p = -51 + 7 Combine like terms: -7 + 7 = 0 0 + -11p = -51 + 7 -11p = -51 + 7 Combine like terms: -51 + 7 = -44 -11p = -44 Divide each side by '-11'. p = 4 Simplifying p = 4
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