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Simplifying 7(4p + 6) + -2 = 4(p + -2) + 10 Reorder the terms: 7(6 + 4p) + -2 = 4(p + -2) + 10 (6 * 7 + 4p * 7) + -2 = 4(p + -2) + 10 (42 + 28p) + -2 = 4(p + -2) + 10 Reorder the terms: 42 + -2 + 28p = 4(p + -2) + 10 Combine like terms: 42 + -2 = 40 40 + 28p = 4(p + -2) + 10 Reorder the terms: 40 + 28p = 4(-2 + p) + 10 40 + 28p = (-2 * 4 + p * 4) + 10 40 + 28p = (-8 + 4p) + 10 Reorder the terms: 40 + 28p = -8 + 10 + 4p Combine like terms: -8 + 10 = 2 40 + 28p = 2 + 4p Solving 40 + 28p = 2 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 40 + 28p + -4p = 2 + 4p + -4p Combine like terms: 28p + -4p = 24p 40 + 24p = 2 + 4p + -4p Combine like terms: 4p + -4p = 0 40 + 24p = 2 + 0 40 + 24p = 2 Add '-40' to each side of the equation. 40 + -40 + 24p = 2 + -40 Combine like terms: 40 + -40 = 0 0 + 24p = 2 + -40 24p = 2 + -40 Combine like terms: 2 + -40 = -38 24p = -38 Divide each side by '24'. p = -1.583333333 Simplifying p = -1.583333333
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