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Simplifying 4(1 + -6p) + 3(6p + -4) = -50 (1 * 4 + -6p * 4) + 3(6p + -4) = -50 (4 + -24p) + 3(6p + -4) = -50 Reorder the terms: 4 + -24p + 3(-4 + 6p) = -50 4 + -24p + (-4 * 3 + 6p * 3) = -50 4 + -24p + (-12 + 18p) = -50 Reorder the terms: 4 + -12 + -24p + 18p = -50 Combine like terms: 4 + -12 = -8 -8 + -24p + 18p = -50 Combine like terms: -24p + 18p = -6p -8 + -6p = -50 Solving -8 + -6p = -50 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -6p = -50 + 8 Combine like terms: -8 + 8 = 0 0 + -6p = -50 + 8 -6p = -50 + 8 Combine like terms: -50 + 8 = -42 -6p = -42 Divide each side by '-6'. p = 7 Simplifying p = 7
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