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Simplifying 10p + -2(3p + -6) = 4(5 + -6) + -10p Reorder the terms: 10p + -2(-6 + 3p) = 4(5 + -6) + -10p 10p + (-6 * -2 + 3p * -2) = 4(5 + -6) + -10p 10p + (12 + -6p) = 4(5 + -6) + -10p Reorder the terms: 12 + 10p + -6p = 4(5 + -6) + -10p Combine like terms: 10p + -6p = 4p 12 + 4p = 4(5 + -6) + -10p Combine like terms: 5 + -6 = -1 12 + 4p = 4(-1) + -10p Multiply 4 * -1 12 + 4p = -4 + -10p Solving 12 + 4p = -4 + -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. 12 + 4p + 10p = -4 + -10p + 10p Combine like terms: 4p + 10p = 14p 12 + 14p = -4 + -10p + 10p Combine like terms: -10p + 10p = 0 12 + 14p = -4 + 0 12 + 14p = -4 Add '-12' to each side of the equation. 12 + -12 + 14p = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 14p = -4 + -12 14p = -4 + -12 Combine like terms: -4 + -12 = -16 14p = -16 Divide each side by '14'. p = -1.142857143 Simplifying p = -1.142857143
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