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Simplifying -10(-1p + 11) = -4 + 2(1 + 14p) Reorder the terms: -10(11 + -1p) = -4 + 2(1 + 14p) (11 * -10 + -1p * -10) = -4 + 2(1 + 14p) (-110 + 10p) = -4 + 2(1 + 14p) -110 + 10p = -4 + (1 * 2 + 14p * 2) -110 + 10p = -4 + (2 + 28p) Combine like terms: -4 + 2 = -2 -110 + 10p = -2 + 28p Solving -110 + 10p = -2 + 28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-28p' to each side of the equation. -110 + 10p + -28p = -2 + 28p + -28p Combine like terms: 10p + -28p = -18p -110 + -18p = -2 + 28p + -28p Combine like terms: 28p + -28p = 0 -110 + -18p = -2 + 0 -110 + -18p = -2 Add '110' to each side of the equation. -110 + 110 + -18p = -2 + 110 Combine like terms: -110 + 110 = 0 0 + -18p = -2 + 110 -18p = -2 + 110 Combine like terms: -2 + 110 = 108 -18p = 108 Divide each side by '-18'. p = -6 Simplifying p = -6
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