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Simplifying -3(p + 15) + -7p = 30 + -5p Reorder the terms: -3(15 + p) + -7p = 30 + -5p (15 * -3 + p * -3) + -7p = 30 + -5p (-45 + -3p) + -7p = 30 + -5p Combine like terms: -3p + -7p = -10p -45 + -10p = 30 + -5p Solving -45 + -10p = 30 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -45 + -10p + 5p = 30 + -5p + 5p Combine like terms: -10p + 5p = -5p -45 + -5p = 30 + -5p + 5p Combine like terms: -5p + 5p = 0 -45 + -5p = 30 + 0 -45 + -5p = 30 Add '45' to each side of the equation. -45 + 45 + -5p = 30 + 45 Combine like terms: -45 + 45 = 0 0 + -5p = 30 + 45 -5p = 30 + 45 Combine like terms: 30 + 45 = 75 -5p = 75 Divide each side by '-5'. p = -15 Simplifying p = -15
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