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Simplifying -40 + -6p = 8p + -4(7p + 3) Reorder the terms: -40 + -6p = 8p + -4(3 + 7p) -40 + -6p = 8p + (3 * -4 + 7p * -4) -40 + -6p = 8p + (-12 + -28p) Reorder the terms: -40 + -6p = -12 + 8p + -28p Combine like terms: 8p + -28p = -20p -40 + -6p = -12 + -20p Solving -40 + -6p = -12 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. -40 + -6p + 20p = -12 + -20p + 20p Combine like terms: -6p + 20p = 14p -40 + 14p = -12 + -20p + 20p Combine like terms: -20p + 20p = 0 -40 + 14p = -12 + 0 -40 + 14p = -12 Add '40' to each side of the equation. -40 + 40 + 14p = -12 + 40 Combine like terms: -40 + 40 = 0 0 + 14p = -12 + 40 14p = -12 + 40 Combine like terms: -12 + 40 = 28 14p = 28 Divide each side by '14'. p = 2 Simplifying p = 2
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