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Simplifying -165 = 4p + -5(2 + 7p) -165 = 4p + (2 * -5 + 7p * -5) -165 = 4p + (-10 + -35p) Reorder the terms: -165 = -10 + 4p + -35p Combine like terms: 4p + -35p = -31p -165 = -10 + -31p Solving -165 = -10 + -31p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '31p' to each side of the equation. -165 + 31p = -10 + -31p + 31p Combine like terms: -31p + 31p = 0 -165 + 31p = -10 + 0 -165 + 31p = -10 Add '165' to each side of the equation. -165 + 165 + 31p = -10 + 165 Combine like terms: -165 + 165 = 0 0 + 31p = -10 + 165 31p = -10 + 165 Combine like terms: -10 + 165 = 155 31p = 155 Divide each side by '31'. p = 5 Simplifying p = 5
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