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Simplifying -3(-4p + -14) = 19p Reorder the terms: -3(-14 + -4p) = 19p (-14 * -3 + -4p * -3) = 19p (42 + 12p) = 19p Solving 42 + 12p = 19p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-19p' to each side of the equation. 42 + 12p + -19p = 19p + -19p Combine like terms: 12p + -19p = -7p 42 + -7p = 19p + -19p Combine like terms: 19p + -19p = 0 42 + -7p = 0 Add '-42' to each side of the equation. 42 + -42 + -7p = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -7p = 0 + -42 -7p = 0 + -42 Combine like terms: 0 + -42 = -42 -7p = -42 Divide each side by '-7'. p = 6 Simplifying p = 6
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