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Simplifying 7(4p + -4) + -5p = 40 + 6p Reorder the terms: 7(-4 + 4p) + -5p = 40 + 6p (-4 * 7 + 4p * 7) + -5p = 40 + 6p (-28 + 28p) + -5p = 40 + 6p Combine like terms: 28p + -5p = 23p -28 + 23p = 40 + 6p Solving -28 + 23p = 40 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -28 + 23p + -6p = 40 + 6p + -6p Combine like terms: 23p + -6p = 17p -28 + 17p = 40 + 6p + -6p Combine like terms: 6p + -6p = 0 -28 + 17p = 40 + 0 -28 + 17p = 40 Add '28' to each side of the equation. -28 + 28 + 17p = 40 + 28 Combine like terms: -28 + 28 = 0 0 + 17p = 40 + 28 17p = 40 + 28 Combine like terms: 40 + 28 = 68 17p = 68 Divide each side by '17'. p = 4 Simplifying p = 4
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