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Simplifying 4p + -40 = -3p + 6(8p + 7) Reorder the terms: -40 + 4p = -3p + 6(8p + 7) Reorder the terms: -40 + 4p = -3p + 6(7 + 8p) -40 + 4p = -3p + (7 * 6 + 8p * 6) -40 + 4p = -3p + (42 + 48p) Reorder the terms: -40 + 4p = 42 + -3p + 48p Combine like terms: -3p + 48p = 45p -40 + 4p = 42 + 45p Solving -40 + 4p = 42 + 45p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-45p' to each side of the equation. -40 + 4p + -45p = 42 + 45p + -45p Combine like terms: 4p + -45p = -41p -40 + -41p = 42 + 45p + -45p Combine like terms: 45p + -45p = 0 -40 + -41p = 42 + 0 -40 + -41p = 42 Add '40' to each side of the equation. -40 + 40 + -41p = 42 + 40 Combine like terms: -40 + 40 = 0 0 + -41p = 42 + 40 -41p = 42 + 40 Combine like terms: 42 + 40 = 82 -41p = 82 Divide each side by '-41'. p = -2 Simplifying p = -2
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