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Simplifying 6(3p + 8) + 10(p + 4) = 0 Reorder the terms: 6(8 + 3p) + 10(p + 4) = 0 (8 * 6 + 3p * 6) + 10(p + 4) = 0 (48 + 18p) + 10(p + 4) = 0 Reorder the terms: 48 + 18p + 10(4 + p) = 0 48 + 18p + (4 * 10 + p * 10) = 0 48 + 18p + (40 + 10p) = 0 Reorder the terms: 48 + 40 + 18p + 10p = 0 Combine like terms: 48 + 40 = 88 88 + 18p + 10p = 0 Combine like terms: 18p + 10p = 28p 88 + 28p = 0 Solving 88 + 28p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-88' to each side of the equation. 88 + -88 + 28p = 0 + -88 Combine like terms: 88 + -88 = 0 0 + 28p = 0 + -88 28p = 0 + -88 Combine like terms: 0 + -88 = -88 28p = -88 Divide each side by '28'. p = -3.142857143 Simplifying p = -3.142857143
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