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Simplifying -7p + -12 = -4p + 3(-1 + 5x) Reorder the terms: -12 + -7p = -4p + 3(-1 + 5x) -12 + -7p = -4p + (-1 * 3 + 5x * 3) -12 + -7p = -4p + (-3 + 15x) Reorder the terms: -12 + -7p = -3 + -4p + 15x Solving -12 + -7p = -3 + -4p + 15x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -12 + -7p + 4p = -3 + -4p + 4p + 15x Combine like terms: -7p + 4p = -3p -12 + -3p = -3 + -4p + 4p + 15x Combine like terms: -4p + 4p = 0 -12 + -3p = -3 + 0 + 15x -12 + -3p = -3 + 15x Add '12' to each side of the equation. -12 + 12 + -3p = -3 + 12 + 15x Combine like terms: -12 + 12 = 0 0 + -3p = -3 + 12 + 15x -3p = -3 + 12 + 15x Combine like terms: -3 + 12 = 9 -3p = 9 + 15x Divide each side by '-3'. p = -3 + -5x Simplifying p = -3 + -5x
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