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Simplifying -10p + -10 = -10(-1p + 6) + -2(3 + -4p) Reorder the terms: -10 + -10p = -10(-1p + 6) + -2(3 + -4p) Reorder the terms: -10 + -10p = -10(6 + -1p) + -2(3 + -4p) -10 + -10p = (6 * -10 + -1p * -10) + -2(3 + -4p) -10 + -10p = (-60 + 10p) + -2(3 + -4p) -10 + -10p = -60 + 10p + (3 * -2 + -4p * -2) -10 + -10p = -60 + 10p + (-6 + 8p) Reorder the terms: -10 + -10p = -60 + -6 + 10p + 8p Combine like terms: -60 + -6 = -66 -10 + -10p = -66 + 10p + 8p Combine like terms: 10p + 8p = 18p -10 + -10p = -66 + 18p Solving -10 + -10p = -66 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -10 + -10p + -18p = -66 + 18p + -18p Combine like terms: -10p + -18p = -28p -10 + -28p = -66 + 18p + -18p Combine like terms: 18p + -18p = 0 -10 + -28p = -66 + 0 -10 + -28p = -66 Add '10' to each side of the equation. -10 + 10 + -28p = -66 + 10 Combine like terms: -10 + 10 = 0 0 + -28p = -66 + 10 -28p = -66 + 10 Combine like terms: -66 + 10 = -56 -28p = -56 Divide each side by '-28'. p = 2 Simplifying p = 2
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