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Simplifying -1(8 + 6p) + -5(6 + 3p) = -38 (8 * -1 + 6p * -1) + -5(6 + 3p) = -38 (-8 + -6p) + -5(6 + 3p) = -38 -8 + -6p + (6 * -5 + 3p * -5) = -38 -8 + -6p + (-30 + -15p) = -38 Reorder the terms: -8 + -30 + -6p + -15p = -38 Combine like terms: -8 + -30 = -38 -38 + -6p + -15p = -38 Combine like terms: -6p + -15p = -21p -38 + -21p = -38 Add '38' to each side of the equation. -38 + 38 + -21p = -38 + 38 Combine like terms: -38 + 38 = 0 0 + -21p = -38 + 38 -21p = -38 + 38 Combine like terms: -38 + 38 = 0 -21p = 0 Solving -21p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by '-21'. p = 0 Simplifying p = 0
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