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Simplifying 2 + -6p + 10p = -10(p + -12) + -3(-2p + 2) Combine like terms: -6p + 10p = 4p 2 + 4p = -10(p + -12) + -3(-2p + 2) Reorder the terms: 2 + 4p = -10(-12 + p) + -3(-2p + 2) 2 + 4p = (-12 * -10 + p * -10) + -3(-2p + 2) 2 + 4p = (120 + -10p) + -3(-2p + 2) Reorder the terms: 2 + 4p = 120 + -10p + -3(2 + -2p) 2 + 4p = 120 + -10p + (2 * -3 + -2p * -3) 2 + 4p = 120 + -10p + (-6 + 6p) Reorder the terms: 2 + 4p = 120 + -6 + -10p + 6p Combine like terms: 120 + -6 = 114 2 + 4p = 114 + -10p + 6p Combine like terms: -10p + 6p = -4p 2 + 4p = 114 + -4p Solving 2 + 4p = 114 + -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. 2 + 4p + 4p = 114 + -4p + 4p Combine like terms: 4p + 4p = 8p 2 + 8p = 114 + -4p + 4p Combine like terms: -4p + 4p = 0 2 + 8p = 114 + 0 2 + 8p = 114 Add '-2' to each side of the equation. 2 + -2 + 8p = 114 + -2 Combine like terms: 2 + -2 = 0 0 + 8p = 114 + -2 8p = 114 + -2 Combine like terms: 114 + -2 = 112 8p = 112 Divide each side by '8'. p = 14 Simplifying p = 14
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