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Simplifying 5p + -2(4 + -3p) = 6(p + -3) + -40 5p + (4 * -2 + -3p * -2) = 6(p + -3) + -40 5p + (-8 + 6p) = 6(p + -3) + -40 Reorder the terms: -8 + 5p + 6p = 6(p + -3) + -40 Combine like terms: 5p + 6p = 11p -8 + 11p = 6(p + -3) + -40 Reorder the terms: -8 + 11p = 6(-3 + p) + -40 -8 + 11p = (-3 * 6 + p * 6) + -40 -8 + 11p = (-18 + 6p) + -40 Reorder the terms: -8 + 11p = -18 + -40 + 6p Combine like terms: -18 + -40 = -58 -8 + 11p = -58 + 6p Solving -8 + 11p = -58 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -8 + 11p + -6p = -58 + 6p + -6p Combine like terms: 11p + -6p = 5p -8 + 5p = -58 + 6p + -6p Combine like terms: 6p + -6p = 0 -8 + 5p = -58 + 0 -8 + 5p = -58 Add '8' to each side of the equation. -8 + 8 + 5p = -58 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = -58 + 8 5p = -58 + 8 Combine like terms: -58 + 8 = -50 5p = -50 Divide each side by '5'. p = -10 Simplifying p = -10
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