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Simplifying -7 + -1p = (1 + 4p) + 10p Remove parenthesis around (1 + 4p) -7 + -1p = 1 + 4p + 10p Combine like terms: 4p + 10p = 14p -7 + -1p = 1 + 14p Solving -7 + -1p = 1 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. -7 + -1p + -14p = 1 + 14p + -14p Combine like terms: -1p + -14p = -15p -7 + -15p = 1 + 14p + -14p Combine like terms: 14p + -14p = 0 -7 + -15p = 1 + 0 -7 + -15p = 1 Add '7' to each side of the equation. -7 + 7 + -15p = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -15p = 1 + 7 -15p = 1 + 7 Combine like terms: 1 + 7 = 8 -15p = 8 Divide each side by '-15'. p = -0.5333333333 Simplifying p = -0.5333333333
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