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Simplifying 6p + 40 = 4(8p + -3) Reorder the terms: 40 + 6p = 4(8p + -3) Reorder the terms: 40 + 6p = 4(-3 + 8p) 40 + 6p = (-3 * 4 + 8p * 4) 40 + 6p = (-12 + 32p) Solving 40 + 6p = -12 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. 40 + 6p + -32p = -12 + 32p + -32p Combine like terms: 6p + -32p = -26p 40 + -26p = -12 + 32p + -32p Combine like terms: 32p + -32p = 0 40 + -26p = -12 + 0 40 + -26p = -12 Add '-40' to each side of the equation. 40 + -40 + -26p = -12 + -40 Combine like terms: 40 + -40 = 0 0 + -26p = -12 + -40 -26p = -12 + -40 Combine like terms: -12 + -40 = -52 -26p = -52 Divide each side by '-26'. p = 2 Simplifying p = 2
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