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Simplifying 10p + 10 = 4(3p + -1) Reorder the terms: 10 + 10p = 4(3p + -1) Reorder the terms: 10 + 10p = 4(-1 + 3p) 10 + 10p = (-1 * 4 + 3p * 4) 10 + 10p = (-4 + 12p) Solving 10 + 10p = -4 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 10 + 10p + -12p = -4 + 12p + -12p Combine like terms: 10p + -12p = -2p 10 + -2p = -4 + 12p + -12p Combine like terms: 12p + -12p = 0 10 + -2p = -4 + 0 10 + -2p = -4 Add '-10' to each side of the equation. 10 + -10 + -2p = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -2p = -4 + -10 -2p = -4 + -10 Combine like terms: -4 + -10 = -14 -2p = -14 Divide each side by '-2'. p = 7 Simplifying p = 7
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