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Simplifying 4(p + 3) = 2(-1 + -5p) Reorder the terms: 4(3 + p) = 2(-1 + -5p) (3 * 4 + p * 4) = 2(-1 + -5p) (12 + 4p) = 2(-1 + -5p) 12 + 4p = (-1 * 2 + -5p * 2) 12 + 4p = (-2 + -10p) Solving 12 + 4p = -2 + -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. 12 + 4p + 10p = -2 + -10p + 10p Combine like terms: 4p + 10p = 14p 12 + 14p = -2 + -10p + 10p Combine like terms: -10p + 10p = 0 12 + 14p = -2 + 0 12 + 14p = -2 Add '-12' to each side of the equation. 12 + -12 + 14p = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 14p = -2 + -12 14p = -2 + -12 Combine like terms: -2 + -12 = -14 14p = -14 Divide each side by '14'. p = -1 Simplifying p = -1
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