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Simplifying 7 + -4(6p + 1) = 7p + 3 Reorder the terms: 7 + -4(1 + 6p) = 7p + 3 7 + (1 * -4 + 6p * -4) = 7p + 3 7 + (-4 + -24p) = 7p + 3 Combine like terms: 7 + -4 = 3 3 + -24p = 7p + 3 Reorder the terms: 3 + -24p = 3 + 7p Add '-3' to each side of the equation. 3 + -3 + -24p = 3 + -3 + 7p Combine like terms: 3 + -3 = 0 0 + -24p = 3 + -3 + 7p -24p = 3 + -3 + 7p Combine like terms: 3 + -3 = 0 -24p = 0 + 7p -24p = 7p Solving -24p = 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -24p + -7p = 7p + -7p Combine like terms: -24p + -7p = -31p -31p = 7p + -7p Combine like terms: 7p + -7p = 0 -31p = 0 Divide each side by '-31'. p = 0 Simplifying p = 0
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