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Simplifying -2(p + -15) + 18p = 7(-13p + -11) Reorder the terms: -2(-15 + p) + 18p = 7(-13p + -11) (-15 * -2 + p * -2) + 18p = 7(-13p + -11) (30 + -2p) + 18p = 7(-13p + -11) Combine like terms: -2p + 18p = 16p 30 + 16p = 7(-13p + -11) Reorder the terms: 30 + 16p = 7(-11 + -13p) 30 + 16p = (-11 * 7 + -13p * 7) 30 + 16p = (-77 + -91p) Solving 30 + 16p = -77 + -91p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '91p' to each side of the equation. 30 + 16p + 91p = -77 + -91p + 91p Combine like terms: 16p + 91p = 107p 30 + 107p = -77 + -91p + 91p Combine like terms: -91p + 91p = 0 30 + 107p = -77 + 0 30 + 107p = -77 Add '-30' to each side of the equation. 30 + -30 + 107p = -77 + -30 Combine like terms: 30 + -30 = 0 0 + 107p = -77 + -30 107p = -77 + -30 Combine like terms: -77 + -30 = -107 107p = -107 Divide each side by '107'. p = -1 Simplifying p = -1
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