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Simplifying -15p + -5(5 + -5p) = 6(p + -2) + -37 -15p + (5 * -5 + -5p * -5) = 6(p + -2) + -37 -15p + (-25 + 25p) = 6(p + -2) + -37 Reorder the terms: -25 + -15p + 25p = 6(p + -2) + -37 Combine like terms: -15p + 25p = 10p -25 + 10p = 6(p + -2) + -37 Reorder the terms: -25 + 10p = 6(-2 + p) + -37 -25 + 10p = (-2 * 6 + p * 6) + -37 -25 + 10p = (-12 + 6p) + -37 Reorder the terms: -25 + 10p = -12 + -37 + 6p Combine like terms: -12 + -37 = -49 -25 + 10p = -49 + 6p Solving -25 + 10p = -49 + 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. -25 + 10p + -6p = -49 + 6p + -6p Combine like terms: 10p + -6p = 4p -25 + 4p = -49 + 6p + -6p Combine like terms: 6p + -6p = 0 -25 + 4p = -49 + 0 -25 + 4p = -49 Add '25' to each side of the equation. -25 + 25 + 4p = -49 + 25 Combine like terms: -25 + 25 = 0 0 + 4p = -49 + 25 4p = -49 + 25 Combine like terms: -49 + 25 = -24 4p = -24 Divide each side by '4'. p = -6 Simplifying p = -6
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