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Simplifying -30 + -4p = 6 + -8(4p + -6) Reorder the terms: -30 + -4p = 6 + -8(-6 + 4p) -30 + -4p = 6 + (-6 * -8 + 4p * -8) -30 + -4p = 6 + (48 + -32p) Combine like terms: 6 + 48 = 54 -30 + -4p = 54 + -32p Solving -30 + -4p = 54 + -32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32p' to each side of the equation. -30 + -4p + 32p = 54 + -32p + 32p Combine like terms: -4p + 32p = 28p -30 + 28p = 54 + -32p + 32p Combine like terms: -32p + 32p = 0 -30 + 28p = 54 + 0 -30 + 28p = 54 Add '30' to each side of the equation. -30 + 30 + 28p = 54 + 30 Combine like terms: -30 + 30 = 0 0 + 28p = 54 + 30 28p = 54 + 30 Combine like terms: 54 + 30 = 84 28p = 84 Divide each side by '28'. p = 3 Simplifying p = 3
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