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Simplifying 6p + -3(5p + 2) = 4(1 + -1p) + -10 + 5 Reorder the terms: 6p + -3(2 + 5p) = 4(1 + -1p) + -10 + 5 6p + (2 * -3 + 5p * -3) = 4(1 + -1p) + -10 + 5 6p + (-6 + -15p) = 4(1 + -1p) + -10 + 5 Reorder the terms: -6 + 6p + -15p = 4(1 + -1p) + -10 + 5 Combine like terms: 6p + -15p = -9p -6 + -9p = 4(1 + -1p) + -10 + 5 -6 + -9p = (1 * 4 + -1p * 4) + -10 + 5 -6 + -9p = (4 + -4p) + -10 + 5 Reorder the terms: -6 + -9p = 4 + -10 + 5 + -4p Combine like terms: 4 + -10 = -6 -6 + -9p = -6 + 5 + -4p Combine like terms: -6 + 5 = -1 -6 + -9p = -1 + -4p Solving -6 + -9p = -1 + -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. -6 + -9p + 4p = -1 + -4p + 4p Combine like terms: -9p + 4p = -5p -6 + -5p = -1 + -4p + 4p Combine like terms: -4p + 4p = 0 -6 + -5p = -1 + 0 -6 + -5p = -1 Add '6' to each side of the equation. -6 + 6 + -5p = -1 + 6 Combine like terms: -6 + 6 = 0 0 + -5p = -1 + 6 -5p = -1 + 6 Combine like terms: -1 + 6 = 5 -5p = 5 Divide each side by '-5'. p = -1 Simplifying p = -1
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