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Simplifying -19p + -5(3 + -6p) = 6(p + -2) + -28 -19p + (3 * -5 + -6p * -5) = 6(p + -2) + -28 -19p + (-15 + 30p) = 6(p + -2) + -28 Reorder the terms: -15 + -19p + 30p = 6(p + -2) + -28 Combine like terms: -19p + 30p = 11p -15 + 11p = 6(p + -2) + -28 Reorder the terms: -15 + 11p = 6(-2 + p) + -28 -15 + 11p = (-2 * 6 + p * 6) + -28 -15 + 11p = (-12 + 6p) + -28 Reorder the terms: -15 + 11p = -12 + -28 + 6p Combine like terms: -12 + -28 = -40 -15 + 11p = -40 + 6p Solving -15 + 11p = -40 + 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. -15 + 11p + -6p = -40 + 6p + -6p Combine like terms: 11p + -6p = 5p -15 + 5p = -40 + 6p + -6p Combine like terms: 6p + -6p = 0 -15 + 5p = -40 + 0 -15 + 5p = -40 Add '15' to each side of the equation. -15 + 15 + 5p = -40 + 15 Combine like terms: -15 + 15 = 0 0 + 5p = -40 + 15 5p = -40 + 15 Combine like terms: -40 + 15 = -25 5p = -25 Divide each side by '5'. p = -5 Simplifying p = -5
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