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Simplifying 10p + -7 = 7(p + 5) + 2(-4 + 2p) Reorder the terms: -7 + 10p = 7(p + 5) + 2(-4 + 2p) Reorder the terms: -7 + 10p = 7(5 + p) + 2(-4 + 2p) -7 + 10p = (5 * 7 + p * 7) + 2(-4 + 2p) -7 + 10p = (35 + 7p) + 2(-4 + 2p) -7 + 10p = 35 + 7p + (-4 * 2 + 2p * 2) -7 + 10p = 35 + 7p + (-8 + 4p) Reorder the terms: -7 + 10p = 35 + -8 + 7p + 4p Combine like terms: 35 + -8 = 27 -7 + 10p = 27 + 7p + 4p Combine like terms: 7p + 4p = 11p -7 + 10p = 27 + 11p Solving -7 + 10p = 27 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. -7 + 10p + -11p = 27 + 11p + -11p Combine like terms: 10p + -11p = -1p -7 + -1p = 27 + 11p + -11p Combine like terms: 11p + -11p = 0 -7 + -1p = 27 + 0 -7 + -1p = 27 Add '7' to each side of the equation. -7 + 7 + -1p = 27 + 7 Combine like terms: -7 + 7 = 0 0 + -1p = 27 + 7 -1p = 27 + 7 Combine like terms: 27 + 7 = 34 -1p = 34 Divide each side by '-1'. p = -34 Simplifying p = -34
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