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Simplifying -19p + -5(6 + -6p) = 6(p + -4) + -46 -19p + (6 * -5 + -6p * -5) = 6(p + -4) + -46 -19p + (-30 + 30p) = 6(p + -4) + -46 Reorder the terms: -30 + -19p + 30p = 6(p + -4) + -46 Combine like terms: -19p + 30p = 11p -30 + 11p = 6(p + -4) + -46 Reorder the terms: -30 + 11p = 6(-4 + p) + -46 -30 + 11p = (-4 * 6 + p * 6) + -46 -30 + 11p = (-24 + 6p) + -46 Reorder the terms: -30 + 11p = -24 + -46 + 6p Combine like terms: -24 + -46 = -70 -30 + 11p = -70 + 6p Solving -30 + 11p = -70 + 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. -30 + 11p + -6p = -70 + 6p + -6p Combine like terms: 11p + -6p = 5p -30 + 5p = -70 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + 5p = -70 + 0 -30 + 5p = -70 Add '30' to each side of the equation. -30 + 30 + 5p = -70 + 30 Combine like terms: -30 + 30 = 0 0 + 5p = -70 + 30 5p = -70 + 30 Combine like terms: -70 + 30 = -40 5p = -40 Divide each side by '5'. p = -8 Simplifying p = -8
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