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Simplifying 5(-3p + 8) + 5p = -2 + -3p Reorder the terms: 5(8 + -3p) + 5p = -2 + -3p (8 * 5 + -3p * 5) + 5p = -2 + -3p (40 + -15p) + 5p = -2 + -3p Combine like terms: -15p + 5p = -10p 40 + -10p = -2 + -3p Solving 40 + -10p = -2 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 40 + -10p + 3p = -2 + -3p + 3p Combine like terms: -10p + 3p = -7p 40 + -7p = -2 + -3p + 3p Combine like terms: -3p + 3p = 0 40 + -7p = -2 + 0 40 + -7p = -2 Add '-40' to each side of the equation. 40 + -40 + -7p = -2 + -40 Combine like terms: 40 + -40 = 0 0 + -7p = -2 + -40 -7p = -2 + -40 Combine like terms: -2 + -40 = -42 -7p = -42 Divide each side by '-7'. p = 6 Simplifying p = 6
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