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Simplifying -4(5p + -2) + 21(p + -10) = -191 + -5 Reorder the terms: -4(-2 + 5p) + 21(p + -10) = -191 + -5 (-2 * -4 + 5p * -4) + 21(p + -10) = -191 + -5 (8 + -20p) + 21(p + -10) = -191 + -5 Reorder the terms: 8 + -20p + 21(-10 + p) = -191 + -5 8 + -20p + (-10 * 21 + p * 21) = -191 + -5 8 + -20p + (-210 + 21p) = -191 + -5 Reorder the terms: 8 + -210 + -20p + 21p = -191 + -5 Combine like terms: 8 + -210 = -202 -202 + -20p + 21p = -191 + -5 Combine like terms: -20p + 21p = 1p -202 + 1p = -191 + -5 Combine like terms: -191 + -5 = -196 -202 + 1p = -196 Solving -202 + 1p = -196 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '202' to each side of the equation. -202 + 202 + 1p = -196 + 202 Combine like terms: -202 + 202 = 0 0 + 1p = -196 + 202 1p = -196 + 202 Combine like terms: -196 + 202 = 6 1p = 6 Divide each side by '1'. p = 6 Simplifying p = 6
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