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Simplifying 4(6p + -8) = 30 + -7p Reorder the terms: 4(-8 + 6p) = 30 + -7p (-8 * 4 + 6p * 4) = 30 + -7p (-32 + 24p) = 30 + -7p Solving -32 + 24p = 30 + -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. -32 + 24p + 7p = 30 + -7p + 7p Combine like terms: 24p + 7p = 31p -32 + 31p = 30 + -7p + 7p Combine like terms: -7p + 7p = 0 -32 + 31p = 30 + 0 -32 + 31p = 30 Add '32' to each side of the equation. -32 + 32 + 31p = 30 + 32 Combine like terms: -32 + 32 = 0 0 + 31p = 30 + 32 31p = 30 + 32 Combine like terms: 30 + 32 = 62 31p = 62 Divide each side by '31'. p = 2 Simplifying p = 2
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