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Simplifying 4p + -40 = 7(-2p + 2) Reorder the terms: -40 + 4p = 7(-2p + 2) Reorder the terms: -40 + 4p = 7(2 + -2p) -40 + 4p = (2 * 7 + -2p * 7) -40 + 4p = (14 + -14p) Solving -40 + 4p = 14 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. -40 + 4p + 14p = 14 + -14p + 14p Combine like terms: 4p + 14p = 18p -40 + 18p = 14 + -14p + 14p Combine like terms: -14p + 14p = 0 -40 + 18p = 14 + 0 -40 + 18p = 14 Add '40' to each side of the equation. -40 + 40 + 18p = 14 + 40 Combine like terms: -40 + 40 = 0 0 + 18p = 14 + 40 18p = 14 + 40 Combine like terms: 14 + 40 = 54 18p = 54 Divide each side by '18'. p = 3 Simplifying p = 3
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