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Simplifying -5p(2 + 4) + -38 = 6p + 6 Combine like terms: 2 + 4 = 6 -5p(6) + -38 = 6p + 6 Reorder the terms for easier multiplication: -5 * 6p + -38 = 6p + 6 Multiply -5 * 6 -30p + -38 = 6p + 6 Reorder the terms: -38 + -30p = 6p + 6 Reorder the terms: -38 + -30p = 6 + 6p Solving -38 + -30p = 6 + 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. -38 + -30p + -6p = 6 + 6p + -6p Combine like terms: -30p + -6p = -36p -38 + -36p = 6 + 6p + -6p Combine like terms: 6p + -6p = 0 -38 + -36p = 6 + 0 -38 + -36p = 6 Add '38' to each side of the equation. -38 + 38 + -36p = 6 + 38 Combine like terms: -38 + 38 = 0 0 + -36p = 6 + 38 -36p = 6 + 38 Combine like terms: 6 + 38 = 44 -36p = 44 Divide each side by '-36'. p = -1.222222222 Simplifying p = -1.222222222
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