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Simplifying -7p + 1 + -8 = 6(p + -8) + 6(1 + -8p) Reorder the terms: 1 + -8 + -7p = 6(p + -8) + 6(1 + -8p) Combine like terms: 1 + -8 = -7 -7 + -7p = 6(p + -8) + 6(1 + -8p) Reorder the terms: -7 + -7p = 6(-8 + p) + 6(1 + -8p) -7 + -7p = (-8 * 6 + p * 6) + 6(1 + -8p) -7 + -7p = (-48 + 6p) + 6(1 + -8p) -7 + -7p = -48 + 6p + (1 * 6 + -8p * 6) -7 + -7p = -48 + 6p + (6 + -48p) Reorder the terms: -7 + -7p = -48 + 6 + 6p + -48p Combine like terms: -48 + 6 = -42 -7 + -7p = -42 + 6p + -48p Combine like terms: 6p + -48p = -42p -7 + -7p = -42 + -42p Solving -7 + -7p = -42 + -42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '42p' to each side of the equation. -7 + -7p + 42p = -42 + -42p + 42p Combine like terms: -7p + 42p = 35p -7 + 35p = -42 + -42p + 42p Combine like terms: -42p + 42p = 0 -7 + 35p = -42 + 0 -7 + 35p = -42 Add '7' to each side of the equation. -7 + 7 + 35p = -42 + 7 Combine like terms: -7 + 7 = 0 0 + 35p = -42 + 7 35p = -42 + 7 Combine like terms: -42 + 7 = -35 35p = -35 Divide each side by '35'. p = -1 Simplifying p = -1
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