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Simplifying -6(-4 + 11p) + 10(7p + 12) = 10p + 6p (-4 * -6 + 11p * -6) + 10(7p + 12) = 10p + 6p (24 + -66p) + 10(7p + 12) = 10p + 6p Reorder the terms: 24 + -66p + 10(12 + 7p) = 10p + 6p 24 + -66p + (12 * 10 + 7p * 10) = 10p + 6p 24 + -66p + (120 + 70p) = 10p + 6p Reorder the terms: 24 + 120 + -66p + 70p = 10p + 6p Combine like terms: 24 + 120 = 144 144 + -66p + 70p = 10p + 6p Combine like terms: -66p + 70p = 4p 144 + 4p = 10p + 6p Combine like terms: 10p + 6p = 16p 144 + 4p = 16p Solving 144 + 4p = 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 144 + 4p + -16p = 16p + -16p Combine like terms: 4p + -16p = -12p 144 + -12p = 16p + -16p Combine like terms: 16p + -16p = 0 144 + -12p = 0 Add '-144' to each side of the equation. 144 + -144 + -12p = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -12p = 0 + -144 -12p = 0 + -144 Combine like terms: 0 + -144 = -144 -12p = -144 Divide each side by '-12'. p = 12 Simplifying p = 12
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