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Simplifying -10p + -8 = 8(6p + -5) + 10(2 + 4p) Reorder the terms: -8 + -10p = 8(6p + -5) + 10(2 + 4p) Reorder the terms: -8 + -10p = 8(-5 + 6p) + 10(2 + 4p) -8 + -10p = (-5 * 8 + 6p * 8) + 10(2 + 4p) -8 + -10p = (-40 + 48p) + 10(2 + 4p) -8 + -10p = -40 + 48p + (2 * 10 + 4p * 10) -8 + -10p = -40 + 48p + (20 + 40p) Reorder the terms: -8 + -10p = -40 + 20 + 48p + 40p Combine like terms: -40 + 20 = -20 -8 + -10p = -20 + 48p + 40p Combine like terms: 48p + 40p = 88p -8 + -10p = -20 + 88p Solving -8 + -10p = -20 + 88p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-88p' to each side of the equation. -8 + -10p + -88p = -20 + 88p + -88p Combine like terms: -10p + -88p = -98p -8 + -98p = -20 + 88p + -88p Combine like terms: 88p + -88p = 0 -8 + -98p = -20 + 0 -8 + -98p = -20 Add '8' to each side of the equation. -8 + 8 + -98p = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -98p = -20 + 8 -98p = -20 + 8 Combine like terms: -20 + 8 = -12 -98p = -12 Divide each side by '-98'. p = 0.1224489796 Simplifying p = 0.1224489796
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