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Simplifying 3 + 6p = -3 + 2(5p + 5) Reorder the terms: 3 + 6p = -3 + 2(5 + 5p) 3 + 6p = -3 + (5 * 2 + 5p * 2) 3 + 6p = -3 + (10 + 10p) Combine like terms: -3 + 10 = 7 3 + 6p = 7 + 10p Solving 3 + 6p = 7 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 3 + 6p + -10p = 7 + 10p + -10p Combine like terms: 6p + -10p = -4p 3 + -4p = 7 + 10p + -10p Combine like terms: 10p + -10p = 0 3 + -4p = 7 + 0 3 + -4p = 7 Add '-3' to each side of the equation. 3 + -3 + -4p = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -4p = 7 + -3 -4p = 7 + -3 Combine like terms: 7 + -3 = 4 -4p = 4 Divide each side by '-4'. p = -1 Simplifying p = -1
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