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Simplifying 19p + 14 + 8p = -18p + -4(-13p + 14) Reorder the terms: 14 + 19p + 8p = -18p + -4(-13p + 14) Combine like terms: 19p + 8p = 27p 14 + 27p = -18p + -4(-13p + 14) Reorder the terms: 14 + 27p = -18p + -4(14 + -13p) 14 + 27p = -18p + (14 * -4 + -13p * -4) 14 + 27p = -18p + (-56 + 52p) Reorder the terms: 14 + 27p = -56 + -18p + 52p Combine like terms: -18p + 52p = 34p 14 + 27p = -56 + 34p Solving 14 + 27p = -56 + 34p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-34p' to each side of the equation. 14 + 27p + -34p = -56 + 34p + -34p Combine like terms: 27p + -34p = -7p 14 + -7p = -56 + 34p + -34p Combine like terms: 34p + -34p = 0 14 + -7p = -56 + 0 14 + -7p = -56 Add '-14' to each side of the equation. 14 + -14 + -7p = -56 + -14 Combine like terms: 14 + -14 = 0 0 + -7p = -56 + -14 -7p = -56 + -14 Combine like terms: -56 + -14 = -70 -7p = -70 Divide each side by '-7'. p = 10 Simplifying p = 10
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