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Simplifying -10 = 6(p + -7) + -2(6p + -1) Reorder the terms: -10 = 6(-7 + p) + -2(6p + -1) -10 = (-7 * 6 + p * 6) + -2(6p + -1) -10 = (-42 + 6p) + -2(6p + -1) Reorder the terms: -10 = -42 + 6p + -2(-1 + 6p) -10 = -42 + 6p + (-1 * -2 + 6p * -2) -10 = -42 + 6p + (2 + -12p) Reorder the terms: -10 = -42 + 2 + 6p + -12p Combine like terms: -42 + 2 = -40 -10 = -40 + 6p + -12p Combine like terms: 6p + -12p = -6p -10 = -40 + -6p Solving -10 = -40 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -10 + 6p = -40 + -6p + 6p Combine like terms: -6p + 6p = 0 -10 + 6p = -40 + 0 -10 + 6p = -40 Add '10' to each side of the equation. -10 + 10 + 6p = -40 + 10 Combine like terms: -10 + 10 = 0 0 + 6p = -40 + 10 6p = -40 + 10 Combine like terms: -40 + 10 = -30 6p = -30 Divide each side by '6'. p = -5 Simplifying p = -5
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