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Simplifying 10p + 2 = 2(-3p + -9) + 3(-10 + -3p) Reorder the terms: 2 + 10p = 2(-3p + -9) + 3(-10 + -3p) Reorder the terms: 2 + 10p = 2(-9 + -3p) + 3(-10 + -3p) 2 + 10p = (-9 * 2 + -3p * 2) + 3(-10 + -3p) 2 + 10p = (-18 + -6p) + 3(-10 + -3p) 2 + 10p = -18 + -6p + (-10 * 3 + -3p * 3) 2 + 10p = -18 + -6p + (-30 + -9p) Reorder the terms: 2 + 10p = -18 + -30 + -6p + -9p Combine like terms: -18 + -30 = -48 2 + 10p = -48 + -6p + -9p Combine like terms: -6p + -9p = -15p 2 + 10p = -48 + -15p Solving 2 + 10p = -48 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 2 + 10p + 15p = -48 + -15p + 15p Combine like terms: 10p + 15p = 25p 2 + 25p = -48 + -15p + 15p Combine like terms: -15p + 15p = 0 2 + 25p = -48 + 0 2 + 25p = -48 Add '-2' to each side of the equation. 2 + -2 + 25p = -48 + -2 Combine like terms: 2 + -2 = 0 0 + 25p = -48 + -2 25p = -48 + -2 Combine like terms: -48 + -2 = -50 25p = -50 Divide each side by '25'. p = -2 Simplifying p = -2
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