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Simplifying -14p + -4(6 + -5p) = 3(p + -2) + -15 -14p + (6 * -4 + -5p * -4) = 3(p + -2) + -15 -14p + (-24 + 20p) = 3(p + -2) + -15 Reorder the terms: -24 + -14p + 20p = 3(p + -2) + -15 Combine like terms: -14p + 20p = 6p -24 + 6p = 3(p + -2) + -15 Reorder the terms: -24 + 6p = 3(-2 + p) + -15 -24 + 6p = (-2 * 3 + p * 3) + -15 -24 + 6p = (-6 + 3p) + -15 Reorder the terms: -24 + 6p = -6 + -15 + 3p Combine like terms: -6 + -15 = -21 -24 + 6p = -21 + 3p Solving -24 + 6p = -21 + 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. -24 + 6p + -3p = -21 + 3p + -3p Combine like terms: 6p + -3p = 3p -24 + 3p = -21 + 3p + -3p Combine like terms: 3p + -3p = 0 -24 + 3p = -21 + 0 -24 + 3p = -21 Add '24' to each side of the equation. -24 + 24 + 3p = -21 + 24 Combine like terms: -24 + 24 = 0 0 + 3p = -21 + 24 3p = -21 + 24 Combine like terms: -21 + 24 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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