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Simplifying 6p + -2 = 10(p + -2) + -4(14 + -4p) + -6 Reorder the terms: -2 + 6p = 10(p + -2) + -4(14 + -4p) + -6 Reorder the terms: -2 + 6p = 10(-2 + p) + -4(14 + -4p) + -6 -2 + 6p = (-2 * 10 + p * 10) + -4(14 + -4p) + -6 -2 + 6p = (-20 + 10p) + -4(14 + -4p) + -6 -2 + 6p = -20 + 10p + (14 * -4 + -4p * -4) + -6 -2 + 6p = -20 + 10p + (-56 + 16p) + -6 Reorder the terms: -2 + 6p = -20 + -56 + -6 + 10p + 16p Combine like terms: -20 + -56 = -76 -2 + 6p = -76 + -6 + 10p + 16p Combine like terms: -76 + -6 = -82 -2 + 6p = -82 + 10p + 16p Combine like terms: 10p + 16p = 26p -2 + 6p = -82 + 26p Solving -2 + 6p = -82 + 26p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-26p' to each side of the equation. -2 + 6p + -26p = -82 + 26p + -26p Combine like terms: 6p + -26p = -20p -2 + -20p = -82 + 26p + -26p Combine like terms: 26p + -26p = 0 -2 + -20p = -82 + 0 -2 + -20p = -82 Add '2' to each side of the equation. -2 + 2 + -20p = -82 + 2 Combine like terms: -2 + 2 = 0 0 + -20p = -82 + 2 -20p = -82 + 2 Combine like terms: -82 + 2 = -80 -20p = -80 Divide each side by '-20'. p = 4 Simplifying p = 4
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