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Simplifying -10p + -8 = -8(6p + -5) + 10(2 + 4) Reorder the terms: -8 + -10p = -8(6p + -5) + 10(2 + 4) Reorder the terms: -8 + -10p = -8(-5 + 6p) + 10(2 + 4) -8 + -10p = (-5 * -8 + 6p * -8) + 10(2 + 4) -8 + -10p = (40 + -48p) + 10(2 + 4) Combine like terms: 2 + 4 = 6 -8 + -10p = 40 + -48p + 10(6) Multiply 10 * 6 -8 + -10p = 40 + -48p + 60 Reorder the terms: -8 + -10p = 40 + 60 + -48p Combine like terms: 40 + 60 = 100 -8 + -10p = 100 + -48p Solving -8 + -10p = 100 + -48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '48p' to each side of the equation. -8 + -10p + 48p = 100 + -48p + 48p Combine like terms: -10p + 48p = 38p -8 + 38p = 100 + -48p + 48p Combine like terms: -48p + 48p = 0 -8 + 38p = 100 + 0 -8 + 38p = 100 Add '8' to each side of the equation. -8 + 8 + 38p = 100 + 8 Combine like terms: -8 + 8 = 0 0 + 38p = 100 + 8 38p = 100 + 8 Combine like terms: 100 + 8 = 108 38p = 108 Divide each side by '38'. p = 2.842105263 Simplifying p = 2.842105263
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