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Simplifying 20 + -6(p + 5) = p + -10(1 + -5p) Reorder the terms: 20 + -6(5 + p) = p + -10(1 + -5p) 20 + (5 * -6 + p * -6) = p + -10(1 + -5p) 20 + (-30 + -6p) = p + -10(1 + -5p) Combine like terms: 20 + -30 = -10 -10 + -6p = p + -10(1 + -5p) -10 + -6p = p + (1 * -10 + -5p * -10) -10 + -6p = p + (-10 + 50p) Reorder the terms: -10 + -6p = -10 + p + 50p Combine like terms: p + 50p = 51p -10 + -6p = -10 + 51p Add '10' to each side of the equation. -10 + 10 + -6p = -10 + 10 + 51p Combine like terms: -10 + 10 = 0 0 + -6p = -10 + 10 + 51p -6p = -10 + 10 + 51p Combine like terms: -10 + 10 = 0 -6p = 0 + 51p -6p = 51p Solving -6p = 51p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-51p' to each side of the equation. -6p + -51p = 51p + -51p Combine like terms: -6p + -51p = -57p -57p = 51p + -51p Combine like terms: 51p + -51p = 0 -57p = 0 Divide each side by '-57'. p = 0 Simplifying p = 0
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