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Simplifying 6 + -1(11p + -14) + 8p = 10(p + 11) + 13 Reorder the terms: 6 + -1(-14 + 11p) + 8p = 10(p + 11) + 13 6 + (-14 * -1 + 11p * -1) + 8p = 10(p + 11) + 13 6 + (14 + -11p) + 8p = 10(p + 11) + 13 Combine like terms: 6 + 14 = 20 20 + -11p + 8p = 10(p + 11) + 13 Combine like terms: -11p + 8p = -3p 20 + -3p = 10(p + 11) + 13 Reorder the terms: 20 + -3p = 10(11 + p) + 13 20 + -3p = (11 * 10 + p * 10) + 13 20 + -3p = (110 + 10p) + 13 Reorder the terms: 20 + -3p = 110 + 13 + 10p Combine like terms: 110 + 13 = 123 20 + -3p = 123 + 10p Solving 20 + -3p = 123 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 20 + -3p + -10p = 123 + 10p + -10p Combine like terms: -3p + -10p = -13p 20 + -13p = 123 + 10p + -10p Combine like terms: 10p + -10p = 0 20 + -13p = 123 + 0 20 + -13p = 123 Add '-20' to each side of the equation. 20 + -20 + -13p = 123 + -20 Combine like terms: 20 + -20 = 0 0 + -13p = 123 + -20 -13p = 123 + -20 Combine like terms: 123 + -20 = 103 -13p = 103 Divide each side by '-13'. p = -7.923076923 Simplifying p = -7.923076923
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