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Simplifying 7(-3 + -2p) + 4(5p + -4) = 11 (-3 * 7 + -2p * 7) + 4(5p + -4) = 11 (-21 + -14p) + 4(5p + -4) = 11 Reorder the terms: -21 + -14p + 4(-4 + 5p) = 11 -21 + -14p + (-4 * 4 + 5p * 4) = 11 -21 + -14p + (-16 + 20p) = 11 Reorder the terms: -21 + -16 + -14p + 20p = 11 Combine like terms: -21 + -16 = -37 -37 + -14p + 20p = 11 Combine like terms: -14p + 20p = 6p -37 + 6p = 11 Solving -37 + 6p = 11 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 6p = 11 + 37 Combine like terms: -37 + 37 = 0 0 + 6p = 11 + 37 6p = 11 + 37 Combine like terms: 11 + 37 = 48 6p = 48 Divide each side by '6'. p = 8 Simplifying p = 8
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