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Simplifying -28p + -6(6 + -6p) = 3(p + -3) + -37 -28p + (6 * -6 + -6p * -6) = 3(p + -3) + -37 -28p + (-36 + 36p) = 3(p + -3) + -37 Reorder the terms: -36 + -28p + 36p = 3(p + -3) + -37 Combine like terms: -28p + 36p = 8p -36 + 8p = 3(p + -3) + -37 Reorder the terms: -36 + 8p = 3(-3 + p) + -37 -36 + 8p = (-3 * 3 + p * 3) + -37 -36 + 8p = (-9 + 3p) + -37 Reorder the terms: -36 + 8p = -9 + -37 + 3p Combine like terms: -9 + -37 = -46 -36 + 8p = -46 + 3p Solving -36 + 8p = -46 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -36 + 8p + -3p = -46 + 3p + -3p Combine like terms: 8p + -3p = 5p -36 + 5p = -46 + 3p + -3p Combine like terms: 3p + -3p = 0 -36 + 5p = -46 + 0 -36 + 5p = -46 Add '36' to each side of the equation. -36 + 36 + 5p = -46 + 36 Combine like terms: -36 + 36 = 0 0 + 5p = -46 + 36 5p = -46 + 36 Combine like terms: -46 + 36 = -10 5p = -10 Divide each side by '5'. p = -2 Simplifying p = -2
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