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Simplifying -6p + -5(2 + -3p) = 4(p + -3) + -23 -6p + (2 * -5 + -3p * -5) = 4(p + -3) + -23 -6p + (-10 + 15p) = 4(p + -3) + -23 Reorder the terms: -10 + -6p + 15p = 4(p + -3) + -23 Combine like terms: -6p + 15p = 9p -10 + 9p = 4(p + -3) + -23 Reorder the terms: -10 + 9p = 4(-3 + p) + -23 -10 + 9p = (-3 * 4 + p * 4) + -23 -10 + 9p = (-12 + 4p) + -23 Reorder the terms: -10 + 9p = -12 + -23 + 4p Combine like terms: -12 + -23 = -35 -10 + 9p = -35 + 4p Solving -10 + 9p = -35 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -10 + 9p + -4p = -35 + 4p + -4p Combine like terms: 9p + -4p = 5p -10 + 5p = -35 + 4p + -4p Combine like terms: 4p + -4p = 0 -10 + 5p = -35 + 0 -10 + 5p = -35 Add '10' to each side of the equation. -10 + 10 + 5p = -35 + 10 Combine like terms: -10 + 10 = 0 0 + 5p = -35 + 10 5p = -35 + 10 Combine like terms: -35 + 10 = -25 5p = -25 Divide each side by '5'. p = -5 Simplifying p = -5
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