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Simplifying 5(2p + 3) + -2 = 4(-6) + -5 Reorder the terms: 5(3 + 2p) + -2 = 4(-6) + -5 (3 * 5 + 2p * 5) + -2 = 4(-6) + -5 (15 + 10p) + -2 = 4(-6) + -5 Reorder the terms: 15 + -2 + 10p = 4(-6) + -5 Combine like terms: 15 + -2 = 13 13 + 10p = 4(-6) + -5 Multiply 4 * -6 13 + 10p = -24 + -5 Combine like terms: -24 + -5 = -29 13 + 10p = -29 Solving 13 + 10p = -29 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 10p = -29 + -13 Combine like terms: 13 + -13 = 0 0 + 10p = -29 + -13 10p = -29 + -13 Combine like terms: -29 + -13 = -42 10p = -42 Divide each side by '10'. p = -4.2 Simplifying p = -4.2
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